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Finding the Fourth Proportional to 1,502.71, 2,254.87 and 1,448.17

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Solution

The fourth proportional to 1,502.71, 2,254.87 and 1,448.17 is: 2,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.71 : 2,254.87 = 1,448.17 : x
  2. Step 2: Convert to fraction form
    1,502.71/2,254.87 = 1,448.17/x
  3. Step 3: Cross multiply
    1,502.71x = 2,254.87 × 1,448.17
  4. Step 4: Simplify right side
    1,502.71x = 3,265,431.26
  5. Step 5: Solve for x
    x = 3,265,431.26/1,502.71
  6. Step 6: Final answer
    x = 2,173.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.