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Finding the Fourth Proportional to 2,432.97, 3,649.95 and 1,046.64

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Solution

The fourth proportional to 2,432.97, 3,649.95 and 1,046.64 is: 1,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.97 : 3,649.95 = 1,046.64 : x
  2. Step 2: Convert to fraction form
    2,432.97/3,649.95 = 1,046.64/x
  3. Step 3: Cross multiply
    2,432.97x = 3,649.95 × 1,046.64
  4. Step 4: Simplify right side
    2,432.97x = 3,820,183.67
  5. Step 5: Solve for x
    x = 3,820,183.67/2,432.97
  6. Step 6: Final answer
    x = 1,570.17

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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.