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Finding the Fourth Proportional to 1,649.47, 2,274.55 and 1,414.21

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Solution

The fourth proportional to 1,649.47, 2,274.55 and 1,414.21 is: 1,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.47 : 2,274.55 = 1,414.21 : x
  2. Step 2: Convert to fraction form
    1,649.47/2,274.55 = 1,414.21/x
  3. Step 3: Cross multiply
    1,649.47x = 2,274.55 × 1,414.21
  4. Step 4: Simplify right side
    1,649.47x = 3,216,691.36
  5. Step 5: Solve for x
    x = 3,216,691.36/1,649.47
  6. Step 6: Final answer
    x = 1,950.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.