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Finding the Fourth Proportional to 2,429.92, 3,649.56 and 2,158.36

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Solution

The fourth proportional to 2,429.92, 3,649.56 and 2,158.36 is: 3,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.92 : 3,649.56 = 2,158.36 : x
  2. Step 2: Convert to fraction form
    2,429.92/3,649.56 = 2,158.36/x
  3. Step 3: Cross multiply
    2,429.92x = 3,649.56 × 2,158.36
  4. Step 4: Simplify right side
    2,429.92x = 7,877,064.32
  5. Step 5: Solve for x
    x = 7,877,064.32/2,429.92
  6. Step 6: Final answer
    x = 3,241.70

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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.