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Finding the Fourth Proportional to 2,264.40, 3,124.97 and 1,320.80

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Solution

The fourth proportional to 2,264.40, 3,124.97 and 1,320.80 is: 1,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.40 : 3,124.97 = 1,320.80 : x
  2. Step 2: Convert to fraction form
    2,264.40/3,124.97 = 1,320.80/x
  3. Step 3: Cross multiply
    2,264.40x = 3,124.97 × 1,320.80
  4. Step 4: Simplify right side
    2,264.40x = 4,127,438.15
  5. Step 5: Solve for x
    x = 4,127,438.15/2,264.40
  6. Step 6: Final answer
    x = 1,822.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.