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Finding the Fourth Proportional to 2,258.98, 3,117.30 and 1,264.30

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Solution

The fourth proportional to 2,258.98, 3,117.30 and 1,264.30 is: 1,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.98 : 3,117.30 = 1,264.30 : x
  2. Step 2: Convert to fraction form
    2,258.98/3,117.30 = 1,264.30/x
  3. Step 3: Cross multiply
    2,258.98x = 3,117.30 × 1,264.30
  4. Step 4: Simplify right side
    2,258.98x = 3,941,202.39
  5. Step 5: Solve for x
    x = 3,941,202.39/2,258.98
  6. Step 6: Final answer
    x = 1,744.68

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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.