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Finding the Fourth Proportional to 1,692.42, 2,335.55 and 993.75

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Solution

The fourth proportional to 1,692.42, 2,335.55 and 993.75 is: 1,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.42 : 2,335.55 = 993.75 : x
  2. Step 2: Convert to fraction form
    1,692.42/2,335.55 = 993.75/x
  3. Step 3: Cross multiply
    1,692.42x = 2,335.55 × 993.75
  4. Step 4: Simplify right side
    1,692.42x = 2,320,947.84
  5. Step 5: Solve for x
    x = 2,320,947.84/1,692.42
  6. Step 6: Final answer
    x = 1,371.38

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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.