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Finding the Fourth Proportional to 1,448.49, 2,167.54 and 1,254.16

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Solution

The fourth proportional to 1,448.49, 2,167.54 and 1,254.16 is: 1,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.49 : 2,167.54 = 1,254.16 : x
  2. Step 2: Convert to fraction form
    1,448.49/2,167.54 = 1,254.16/x
  3. Step 3: Cross multiply
    1,448.49x = 2,167.54 × 1,254.16
  4. Step 4: Simplify right side
    1,448.49x = 2,718,448.60
  5. Step 5: Solve for x
    x = 2,718,448.60/1,448.49
  6. Step 6: Final answer
    x = 1,876.75

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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.