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Finding the Fourth Proportional to 1,592.33, 2,386.85 and 1,129.01

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Solution

The fourth proportional to 1,592.33, 2,386.85 and 1,129.01 is: 1,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.33 : 2,386.85 = 1,129.01 : x
  2. Step 2: Convert to fraction form
    1,592.33/2,386.85 = 1,129.01/x
  3. Step 3: Cross multiply
    1,592.33x = 2,386.85 × 1,129.01
  4. Step 4: Simplify right side
    1,592.33x = 2,694,759.94
  5. Step 5: Solve for x
    x = 2,694,759.94/1,592.33
  6. Step 6: Final answer
    x = 1,692.34

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