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Finding the Fourth Proportional to 2,258.04, 3,387.24 and 614.64

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Solution

The fourth proportional to 2,258.04, 3,387.24 and 614.64 is: 922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.04 : 3,387.24 = 614.64 : x
  2. Step 2: Convert to fraction form
    2,258.04/3,387.24 = 614.64/x
  3. Step 3: Cross multiply
    2,258.04x = 3,387.24 × 614.64
  4. Step 4: Simplify right side
    2,258.04x = 2,081,933.19
  5. Step 5: Solve for x
    x = 2,081,933.19/2,258.04
  6. Step 6: Final answer
    x = 922.01

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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.