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Finding the Fourth Proportional to 1,692.57, 2,335.74 and 946.53

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Solution

The fourth proportional to 1,692.57, 2,335.74 and 946.53 is: 1,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.57 : 2,335.74 = 946.53 : x
  2. Step 2: Convert to fraction form
    1,692.57/2,335.74 = 946.53/x
  3. Step 3: Cross multiply
    1,692.57x = 2,335.74 × 946.53
  4. Step 4: Simplify right side
    1,692.57x = 2,210,847.98
  5. Step 5: Solve for x
    x = 2,210,847.98/1,692.57
  6. Step 6: Final answer
    x = 1,306.21

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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.