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Finding the Fourth Proportional to 2,428.74, 3,642.36 and 1,258.38

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Solution

The fourth proportional to 2,428.74, 3,642.36 and 1,258.38 is: 1,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.74 : 3,642.36 = 1,258.38 : x
  2. Step 2: Convert to fraction form
    2,428.74/3,642.36 = 1,258.38/x
  3. Step 3: Cross multiply
    2,428.74x = 3,642.36 × 1,258.38
  4. Step 4: Simplify right side
    2,428.74x = 4,583,472.98
  5. Step 5: Solve for x
    x = 4,583,472.98/2,428.74
  6. Step 6: Final answer
    x = 1,887.18

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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.