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Finding the Fourth Proportional to 2,258.08, 3,386.66 and 614.64

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Solution

The fourth proportional to 2,258.08, 3,386.66 and 614.64 is: 921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.08 : 3,386.66 = 614.64 : x
  2. Step 2: Convert to fraction form
    2,258.08/3,386.66 = 614.64/x
  3. Step 3: Cross multiply
    2,258.08x = 3,386.66 × 614.64
  4. Step 4: Simplify right side
    2,258.08x = 2,081,570.74
  5. Step 5: Solve for x
    x = 2,081,570.74/2,258.08
  6. Step 6: Final answer
    x = 921.83

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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.