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Finding the Fourth Proportional to 2,438.80, 3,657.60 and 707.56

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Solution

The fourth proportional to 2,438.80, 3,657.60 and 707.56 is: 1,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.80 : 3,657.60 = 707.56 : x
  2. Step 2: Convert to fraction form
    2,438.80/3,657.60 = 707.56/x
  3. Step 3: Cross multiply
    2,438.80x = 3,657.60 × 707.56
  4. Step 4: Simplify right side
    2,438.80x = 2,587,971.46
  5. Step 5: Solve for x
    x = 2,587,971.46/2,438.80
  6. Step 6: Final answer
    x = 1,061.17

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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.