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Finding the Fourth Proportional to 2,505.53, 3,758.46 and 656.69

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Solution

The fourth proportional to 2,505.53, 3,758.46 and 656.69 is: 985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.53 : 3,758.46 = 656.69 : x
  2. Step 2: Convert to fraction form
    2,505.53/3,758.46 = 656.69/x
  3. Step 3: Cross multiply
    2,505.53x = 3,758.46 × 656.69
  4. Step 4: Simplify right side
    2,505.53x = 2,468,143.10
  5. Step 5: Solve for x
    x = 2,468,143.10/2,505.53
  6. Step 6: Final answer
    x = 985.08

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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.