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Finding the Fourth Proportional to 1,797.18, 2,695.76 and 1,432.68

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Solution

The fourth proportional to 1,797.18, 2,695.76 and 1,432.68 is: 2,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.18 : 2,695.76 = 1,432.68 : x
  2. Step 2: Convert to fraction form
    1,797.18/2,695.76 = 1,432.68/x
  3. Step 3: Cross multiply
    1,797.18x = 2,695.76 × 1,432.68
  4. Step 4: Simplify right side
    1,797.18x = 3,862,161.44
  5. Step 5: Solve for x
    x = 3,862,161.44/1,797.18
  6. Step 6: Final answer
    x = 2,149.01

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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.