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Finding the Fourth Proportional to 1,528.17, 2,290.88 and 747.68

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Solution

The fourth proportional to 1,528.17, 2,290.88 and 747.68 is: 1,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.17 : 2,290.88 = 747.68 : x
  2. Step 2: Convert to fraction form
    1,528.17/2,290.88 = 747.68/x
  3. Step 3: Cross multiply
    1,528.17x = 2,290.88 × 747.68
  4. Step 4: Simplify right side
    1,528.17x = 1,712,848.46
  5. Step 5: Solve for x
    x = 1,712,848.46/1,528.17
  6. Step 6: Final answer
    x = 1,120.85

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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.