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Finding the Fourth Proportional to 2,258.67, 3,116.88 and 1,264.04

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Solution

The fourth proportional to 2,258.67, 3,116.88 and 1,264.04 is: 1,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.67 : 3,116.88 = 1,264.04 : x
  2. Step 2: Convert to fraction form
    2,258.67/3,116.88 = 1,264.04/x
  3. Step 3: Cross multiply
    2,258.67x = 3,116.88 × 1,264.04
  4. Step 4: Simplify right side
    2,258.67x = 3,939,845.41
  5. Step 5: Solve for x
    x = 3,939,845.41/2,258.67
  6. Step 6: Final answer
    x = 1,744.32

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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.