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Finding the Fourth Proportional to 2,505.52, 3,739.91 and 2,325.34

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Solution

The fourth proportional to 2,505.52, 3,739.91 and 2,325.34 is: 3,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.52 : 3,739.91 = 2,325.34 : x
  2. Step 2: Convert to fraction form
    2,505.52/3,739.91 = 2,325.34/x
  3. Step 3: Cross multiply
    2,505.52x = 3,739.91 × 2,325.34
  4. Step 4: Simplify right side
    2,505.52x = 8,696,562.32
  5. Step 5: Solve for x
    x = 8,696,562.32/2,505.52
  6. Step 6: Final answer
    x = 3,470.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.