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Finding the Fourth Proportional to 2,258.13, 3,387.41 and 777.46

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Solution

The fourth proportional to 2,258.13, 3,387.41 and 777.46 is: 1,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.13 : 3,387.41 = 777.46 : x
  2. Step 2: Convert to fraction form
    2,258.13/3,387.41 = 777.46/x
  3. Step 3: Cross multiply
    2,258.13x = 3,387.41 × 777.46
  4. Step 4: Simplify right side
    2,258.13x = 2,633,584.25
  5. Step 5: Solve for x
    x = 2,633,584.25/2,258.13
  6. Step 6: Final answer
    x = 1,166.27

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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.