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Finding the Fourth Proportional to 1,642.40, 2,464.14 and 949.88

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Solution

The fourth proportional to 1,642.40, 2,464.14 and 949.88 is: 1,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.40 : 2,464.14 = 949.88 : x
  2. Step 2: Convert to fraction form
    1,642.40/2,464.14 = 949.88/x
  3. Step 3: Cross multiply
    1,642.40x = 2,464.14 × 949.88
  4. Step 4: Simplify right side
    1,642.40x = 2,340,637.30
  5. Step 5: Solve for x
    x = 2,340,637.30/1,642.40
  6. Step 6: Final answer
    x = 1,425.13

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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.