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Finding the Fourth Proportional to 2,258.21, 3,387.56 and 614.77

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Solution

The fourth proportional to 2,258.21, 3,387.56 and 614.77 is: 922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.21 : 3,387.56 = 614.77 : x
  2. Step 2: Convert to fraction form
    2,258.21/3,387.56 = 614.77/x
  3. Step 3: Cross multiply
    2,258.21x = 3,387.56 × 614.77
  4. Step 4: Simplify right side
    2,258.21x = 2,082,570.26
  5. Step 5: Solve for x
    x = 2,082,570.26/2,258.21
  6. Step 6: Final answer
    x = 922.22

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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.