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Finding the Fourth Proportional to 1,692.70, 2,335.86 and 946.69

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Solution

The fourth proportional to 1,692.70, 2,335.86 and 946.69 is: 1,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.70 : 2,335.86 = 946.69 : x
  2. Step 2: Convert to fraction form
    1,692.70/2,335.86 = 946.69/x
  3. Step 3: Cross multiply
    1,692.70x = 2,335.86 × 946.69
  4. Step 4: Simplify right side
    1,692.70x = 2,211,335.30
  5. Step 5: Solve for x
    x = 2,211,335.30/1,692.70
  6. Step 6: Final answer
    x = 1,306.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.