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Finding the Fourth Proportional to 2,438.39, 3,658.13 and 707.15

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Solution

The fourth proportional to 2,438.39, 3,658.13 and 707.15 is: 1,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.39 : 3,658.13 = 707.15 : x
  2. Step 2: Convert to fraction form
    2,438.39/3,658.13 = 707.15/x
  3. Step 3: Cross multiply
    2,438.39x = 3,658.13 × 707.15
  4. Step 4: Simplify right side
    2,438.39x = 2,586,846.63
  5. Step 5: Solve for x
    x = 2,586,846.63/2,438.39
  6. Step 6: Final answer
    x = 1,060.88

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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.