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Finding the Fourth Proportional to 1,539.46, 2,124.29 and 910.02

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Solution

The fourth proportional to 1,539.46, 2,124.29 and 910.02 is: 1,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.46 : 2,124.29 = 910.02 : x
  2. Step 2: Convert to fraction form
    1,539.46/2,124.29 = 910.02/x
  3. Step 3: Cross multiply
    1,539.46x = 2,124.29 × 910.02
  4. Step 4: Simplify right side
    1,539.46x = 1,933,144.68
  5. Step 5: Solve for x
    x = 1,933,144.68/1,539.46
  6. Step 6: Final answer
    x = 1,255.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.