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Finding the Fourth Proportional to 2,429.39, 3,644.24 and 1,649.06

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Solution

The fourth proportional to 2,429.39, 3,644.24 and 1,649.06 is: 2,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.39 : 3,644.24 = 1,649.06 : x
  2. Step 2: Convert to fraction form
    2,429.39/3,644.24 = 1,649.06/x
  3. Step 3: Cross multiply
    2,429.39x = 3,644.24 × 1,649.06
  4. Step 4: Simplify right side
    2,429.39x = 6,009,566.89
  5. Step 5: Solve for x
    x = 6,009,566.89/2,429.39
  6. Step 6: Final answer
    x = 2,473.69

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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.