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Finding the Fourth Proportional to 1,692.61, 2,539.08 and 1,387.17

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Solution

The fourth proportional to 1,692.61, 2,539.08 and 1,387.17 is: 2,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.61 : 2,539.08 = 1,387.17 : x
  2. Step 2: Convert to fraction form
    1,692.61/2,539.08 = 1,387.17/x
  3. Step 3: Cross multiply
    1,692.61x = 2,539.08 × 1,387.17
  4. Step 4: Simplify right side
    1,692.61x = 3,522,128.67
  5. Step 5: Solve for x
    x = 3,522,128.67/1,692.61
  6. Step 6: Final answer
    x = 2,080.89

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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.