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Finding the Fourth Proportional to 2,448.60, 3,670.74 and 1,151.64

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Solution

The fourth proportional to 2,448.60, 3,670.74 and 1,151.64 is: 1,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.60 : 3,670.74 = 1,151.64 : x
  2. Step 2: Convert to fraction form
    2,448.60/3,670.74 = 1,151.64/x
  3. Step 3: Cross multiply
    2,448.60x = 3,670.74 × 1,151.64
  4. Step 4: Simplify right side
    2,448.60x = 4,227,371.01
  5. Step 5: Solve for x
    x = 4,227,371.01/2,448.60
  6. Step 6: Final answer
    x = 1,726.44

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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.