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Finding the Fourth Proportional to 2,258.64, 3,115.08 and 1,627.92

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Solution

The fourth proportional to 2,258.64, 3,115.08 and 1,627.92 is: 2,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.64 : 3,115.08 = 1,627.92 : x
  2. Step 2: Convert to fraction form
    2,258.64/3,115.08 = 1,627.92/x
  3. Step 3: Cross multiply
    2,258.64x = 3,115.08 × 1,627.92
  4. Step 4: Simplify right side
    2,258.64x = 5,071,101.03
  5. Step 5: Solve for x
    x = 5,071,101.03/2,258.64
  6. Step 6: Final answer
    x = 2,245.20

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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.