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Finding the Fourth Proportional to 1,614.60, 2,410.02 and 1,429.92

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Solution

The fourth proportional to 1,614.60, 2,410.02 and 1,429.92 is: 2,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.60 : 2,410.02 = 1,429.92 : x
  2. Step 2: Convert to fraction form
    1,614.60/2,410.02 = 1,429.92/x
  3. Step 3: Cross multiply
    1,614.60x = 2,410.02 × 1,429.92
  4. Step 4: Simplify right side
    1,614.60x = 3,446,135.80
  5. Step 5: Solve for x
    x = 3,446,135.80/1,614.60
  6. Step 6: Final answer
    x = 2,134.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.