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Finding the Fourth Proportional to 2,258.72, 3,117.05 and 1,264.04

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Solution

The fourth proportional to 2,258.72, 3,117.05 and 1,264.04 is: 1,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.72 : 3,117.05 = 1,264.04 : x
  2. Step 2: Convert to fraction form
    2,258.72/3,117.05 = 1,264.04/x
  3. Step 3: Cross multiply
    2,258.72x = 3,117.05 × 1,264.04
  4. Step 4: Simplify right side
    2,258.72x = 3,940,053.98
  5. Step 5: Solve for x
    x = 3,940,053.98/2,258.72
  6. Step 6: Final answer
    x = 1,744.38

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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.