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Finding the Fourth Proportional to 2,258.42, 3,386 and 1,025.22

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Solution

The fourth proportional to 2,258.42, 3,386 and 1,025.22 is: 1,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.42 : 3,386 = 1,025.22 : x
  2. Step 2: Convert to fraction form
    2,258.42/3,386 = 1,025.22/x
  3. Step 3: Cross multiply
    2,258.42x = 3,386 × 1,025.22
  4. Step 4: Simplify right side
    2,258.42x = 3,471,394.92
  5. Step 5: Solve for x
    x = 3,471,394.92/2,258.42
  6. Step 6: Final answer
    x = 1,537.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.