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Finding the Fourth Proportional to 2,258.11, 3,386.82 and 614.78

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Solution

The fourth proportional to 2,258.11, 3,386.82 and 614.78 is: 922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.11 : 3,386.82 = 614.78 : x
  2. Step 2: Convert to fraction form
    2,258.11/3,386.82 = 614.78/x
  3. Step 3: Cross multiply
    2,258.11x = 3,386.82 × 614.78
  4. Step 4: Simplify right side
    2,258.11x = 2,082,164.59
  5. Step 5: Solve for x
    x = 2,082,164.59/2,258.11
  6. Step 6: Final answer
    x = 922.08

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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.