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Finding the Fourth Proportional to 2,253.71, 3,110.13 and 1,258.99

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Solution

The fourth proportional to 2,253.71, 3,110.13 and 1,258.99 is: 1,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.71 : 3,110.13 = 1,258.99 : x
  2. Step 2: Convert to fraction form
    2,253.71/3,110.13 = 1,258.99/x
  3. Step 3: Cross multiply
    2,253.71x = 3,110.13 × 1,258.99
  4. Step 4: Simplify right side
    2,253.71x = 3,915,600.72
  5. Step 5: Solve for x
    x = 3,915,600.72/2,253.71
  6. Step 6: Final answer
    x = 1,737.40

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Why These Related Problems?

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