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Finding the Fourth Proportional to 3,432.43, 4,740.69 and 2,258.74

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Solution

The fourth proportional to 3,432.43, 4,740.69 and 2,258.74 is: 3,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.43 : 4,740.69 = 2,258.74 : x
  2. Step 2: Convert to fraction form
    3,432.43/4,740.69 = 2,258.74/x
  3. Step 3: Cross multiply
    3,432.43x = 4,740.69 × 2,258.74
  4. Step 4: Simplify right side
    3,432.43x = 10,707,986.13
  5. Step 5: Solve for x
    x = 10,707,986.13/3,432.43
  6. Step 6: Final answer
    x = 3,119.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.