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Finding the Fourth Proportional to 2,424.47, 3,649.01 and 1,811.43

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Solution

The fourth proportional to 2,424.47, 3,649.01 and 1,811.43 is: 2,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.47 : 3,649.01 = 1,811.43 : x
  2. Step 2: Convert to fraction form
    2,424.47/3,649.01 = 1,811.43/x
  3. Step 3: Cross multiply
    2,424.47x = 3,649.01 × 1,811.43
  4. Step 4: Simplify right side
    2,424.47x = 6,609,926.18
  5. Step 5: Solve for x
    x = 6,609,926.18/2,424.47
  6. Step 6: Final answer
    x = 2,726.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.