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Finding the Fourth Proportional to 2,258.96, 3,117.15 and 1,314.71

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Solution

The fourth proportional to 2,258.96, 3,117.15 and 1,314.71 is: 1,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.96 : 3,117.15 = 1,314.71 : x
  2. Step 2: Convert to fraction form
    2,258.96/3,117.15 = 1,314.71/x
  3. Step 3: Cross multiply
    2,258.96x = 3,117.15 × 1,314.71
  4. Step 4: Simplify right side
    2,258.96x = 4,098,132.69
  5. Step 5: Solve for x
    x = 4,098,132.69/2,258.96
  6. Step 6: Final answer
    x = 1,814.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.