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Finding the Fourth Proportional to 2,092.88, 3,140.16 and 1,039.52

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Solution

The fourth proportional to 2,092.88, 3,140.16 and 1,039.52 is: 1,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.88 : 3,140.16 = 1,039.52 : x
  2. Step 2: Convert to fraction form
    2,092.88/3,140.16 = 1,039.52/x
  3. Step 3: Cross multiply
    2,092.88x = 3,140.16 × 1,039.52
  4. Step 4: Simplify right side
    2,092.88x = 3,264,259.12
  5. Step 5: Solve for x
    x = 3,264,259.12/2,092.88
  6. Step 6: Final answer
    x = 1,559.70

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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.