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Finding the Fourth Proportional to 3,132.29, 4,698.99 and 1,052.97

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Solution

The fourth proportional to 3,132.29, 4,698.99 and 1,052.97 is: 1,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.29 : 4,698.99 = 1,052.97 : x
  2. Step 2: Convert to fraction form
    3,132.29/4,698.99 = 1,052.97/x
  3. Step 3: Cross multiply
    3,132.29x = 4,698.99 × 1,052.97
  4. Step 4: Simplify right side
    3,132.29x = 4,947,895.50
  5. Step 5: Solve for x
    x = 4,947,895.50/3,132.29
  6. Step 6: Final answer
    x = 1,579.64

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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.