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Finding the Fourth Proportional to 2,502.74, 3,754.64 and 942.72

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Solution

The fourth proportional to 2,502.74, 3,754.64 and 942.72 is: 1,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.74 : 3,754.64 = 942.72 : x
  2. Step 2: Convert to fraction form
    2,502.74/3,754.64 = 942.72/x
  3. Step 3: Cross multiply
    2,502.74x = 3,754.64 × 942.72
  4. Step 4: Simplify right side
    2,502.74x = 3,539,574.22
  5. Step 5: Solve for x
    x = 3,539,574.22/2,502.74
  6. Step 6: Final answer
    x = 1,414.28

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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.