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Finding the Fourth Proportional to 2,258.86, 3,117.10 and 1,264.16

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Solution

The fourth proportional to 2,258.86, 3,117.10 and 1,264.16 is: 1,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.86 : 3,117.10 = 1,264.16 : x
  2. Step 2: Convert to fraction form
    2,258.86/3,117.10 = 1,264.16/x
  3. Step 3: Cross multiply
    2,258.86x = 3,117.10 × 1,264.16
  4. Step 4: Simplify right side
    2,258.86x = 3,940,513.14
  5. Step 5: Solve for x
    x = 3,940,513.14/2,258.86
  6. Step 6: Final answer
    x = 1,744.47

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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.