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Finding the Fourth Proportional to 1,631.48, 2,445.06 and 938.12

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Solution

The fourth proportional to 1,631.48, 2,445.06 and 938.12 is: 1,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.48 : 2,445.06 = 938.12 : x
  2. Step 2: Convert to fraction form
    1,631.48/2,445.06 = 938.12/x
  3. Step 3: Cross multiply
    1,631.48x = 2,445.06 × 938.12
  4. Step 4: Simplify right side
    1,631.48x = 2,293,759.69
  5. Step 5: Solve for x
    x = 2,293,759.69/1,631.48
  6. Step 6: Final answer
    x = 1,405.94

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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.