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Finding the Fourth Proportional to 3,104.48, 4,655.48 and 1,371.90

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Solution

The fourth proportional to 3,104.48, 4,655.48 and 1,371.90 is: 2,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.48 : 4,655.48 = 1,371.90 : x
  2. Step 2: Convert to fraction form
    3,104.48/4,655.48 = 1,371.90/x
  3. Step 3: Cross multiply
    3,104.48x = 4,655.48 × 1,371.90
  4. Step 4: Simplify right side
    3,104.48x = 6,386,853.01
  5. Step 5: Solve for x
    x = 6,386,853.01/3,104.48
  6. Step 6: Final answer
    x = 2,057.30

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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.