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Finding the Fourth Proportional to 2,631.66, 3,948.18 and 782.70

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Solution

The fourth proportional to 2,631.66, 3,948.18 and 782.70 is: 1,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.66 : 3,948.18 = 782.70 : x
  2. Step 2: Convert to fraction form
    2,631.66/3,948.18 = 782.70/x
  3. Step 3: Cross multiply
    2,631.66x = 3,948.18 × 782.70
  4. Step 4: Simplify right side
    2,631.66x = 3,090,240.49
  5. Step 5: Solve for x
    x = 3,090,240.49/2,631.66
  6. Step 6: Final answer
    x = 1,174.26

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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.