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Finding the Fourth Proportional to 2,478.52, 3,420.66 and 1,546.84

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Solution

The fourth proportional to 2,478.52, 3,420.66 and 1,546.84 is: 2,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.52 : 3,420.66 = 1,546.84 : x
  2. Step 2: Convert to fraction form
    2,478.52/3,420.66 = 1,546.84/x
  3. Step 3: Cross multiply
    2,478.52x = 3,420.66 × 1,546.84
  4. Step 4: Simplify right side
    2,478.52x = 5,291,213.71
  5. Step 5: Solve for x
    x = 5,291,213.71/2,478.52
  6. Step 6: Final answer
    x = 2,134.83

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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.