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Finding the Fourth Proportional to 2,410.76, 3,614.28 and 1,177.20

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Solution

The fourth proportional to 2,410.76, 3,614.28 and 1,177.20 is: 1,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.76 : 3,614.28 = 1,177.20 : x
  2. Step 2: Convert to fraction form
    2,410.76/3,614.28 = 1,177.20/x
  3. Step 3: Cross multiply
    2,410.76x = 3,614.28 × 1,177.20
  4. Step 4: Simplify right side
    2,410.76x = 4,254,730.42
  5. Step 5: Solve for x
    x = 4,254,730.42/2,410.76
  6. Step 6: Final answer
    x = 1,764.89

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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.