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Finding the Fourth Proportional to 3,444.68, 5,158.80 and 1,882.34

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Solution

The fourth proportional to 3,444.68, 5,158.80 and 1,882.34 is: 2,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.68 : 5,158.80 = 1,882.34 : x
  2. Step 2: Convert to fraction form
    3,444.68/5,158.80 = 1,882.34/x
  3. Step 3: Cross multiply
    3,444.68x = 5,158.80 × 1,882.34
  4. Step 4: Simplify right side
    3,444.68x = 9,710,615.59
  5. Step 5: Solve for x
    x = 9,710,615.59/3,444.68
  6. Step 6: Final answer
    x = 2,819.02

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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.