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Finding the Fourth Proportional to 2,338.57, 3,507.49 and 778.60

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Solution

The fourth proportional to 2,338.57, 3,507.49 and 778.60 is: 1,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.57 : 3,507.49 = 778.60 : x
  2. Step 2: Convert to fraction form
    2,338.57/3,507.49 = 778.60/x
  3. Step 3: Cross multiply
    2,338.57x = 3,507.49 × 778.60
  4. Step 4: Simplify right side
    2,338.57x = 2,730,931.71
  5. Step 5: Solve for x
    x = 2,730,931.71/2,338.57
  6. Step 6: Final answer
    x = 1,167.78

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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.