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Finding the Fourth Proportional to 2,785.16, 4,177.42 and 733.32

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Solution

The fourth proportional to 2,785.16, 4,177.42 and 733.32 is: 1,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.16 : 4,177.42 = 733.32 : x
  2. Step 2: Convert to fraction form
    2,785.16/4,177.42 = 733.32/x
  3. Step 3: Cross multiply
    2,785.16x = 4,177.42 × 733.32
  4. Step 4: Simplify right side
    2,785.16x = 3,063,385.63
  5. Step 5: Solve for x
    x = 3,063,385.63/2,785.16
  6. Step 6: Final answer
    x = 1,099.90

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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.