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Finding the Fourth Proportional to 1,517.37, 2,264.15 and 1,424.49

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Solution

The fourth proportional to 1,517.37, 2,264.15 and 1,424.49 is: 2,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.37 : 2,264.15 = 1,424.49 : x
  2. Step 2: Convert to fraction form
    1,517.37/2,264.15 = 1,424.49/x
  3. Step 3: Cross multiply
    1,517.37x = 2,264.15 × 1,424.49
  4. Step 4: Simplify right side
    1,517.37x = 3,225,259.03
  5. Step 5: Solve for x
    x = 3,225,259.03/1,517.37
  6. Step 6: Final answer
    x = 2,125.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.