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Finding the Fourth Proportional to 1,488.07, 2,230.90 and 747.19

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Solution

The fourth proportional to 1,488.07, 2,230.90 and 747.19 is: 1,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.07 : 2,230.90 = 747.19 : x
  2. Step 2: Convert to fraction form
    1,488.07/2,230.90 = 747.19/x
  3. Step 3: Cross multiply
    1,488.07x = 2,230.90 × 747.19
  4. Step 4: Simplify right side
    1,488.07x = 1,666,906.17
  5. Step 5: Solve for x
    x = 1,666,906.17/1,488.07
  6. Step 6: Final answer
    x = 1,120.18

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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.