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Finding the Fourth Proportional to 2,505.56, 3,758.47 and 656.69

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Solution

The fourth proportional to 2,505.56, 3,758.47 and 656.69 is: 985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.56 : 3,758.47 = 656.69 : x
  2. Step 2: Convert to fraction form
    2,505.56/3,758.47 = 656.69/x
  3. Step 3: Cross multiply
    2,505.56x = 3,758.47 × 656.69
  4. Step 4: Simplify right side
    2,505.56x = 2,468,129.23
  5. Step 5: Solve for x
    x = 2,468,129.23/2,505.56
  6. Step 6: Final answer
    x = 985.06

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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.