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Finding the Fourth Proportional to 1,692.52, 2,534.50 and 1,417.92

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Solution

The fourth proportional to 1,692.52, 2,534.50 and 1,417.92 is: 2,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.52 : 2,534.50 = 1,417.92 : x
  2. Step 2: Convert to fraction form
    1,692.52/2,534.50 = 1,417.92/x
  3. Step 3: Cross multiply
    1,692.52x = 2,534.50 × 1,417.92
  4. Step 4: Simplify right side
    1,692.52x = 3,593,718.24
  5. Step 5: Solve for x
    x = 3,593,718.24/1,692.52
  6. Step 6: Final answer
    x = 2,123.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.