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Finding the Fourth Proportional to 2,909.70, 4,358.01 and 2,258.46

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Solution

The fourth proportional to 2,909.70, 4,358.01 and 2,258.46 is: 3,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.70 : 4,358.01 = 2,258.46 : x
  2. Step 2: Convert to fraction form
    2,909.70/4,358.01 = 2,258.46/x
  3. Step 3: Cross multiply
    2,909.70x = 4,358.01 × 2,258.46
  4. Step 4: Simplify right side
    2,909.70x = 9,842,391.26
  5. Step 5: Solve for x
    x = 9,842,391.26/2,909.70
  6. Step 6: Final answer
    x = 3,382.61

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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.