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Finding the Fourth Proportional to 2,972, 4,454.52 and 1,022.48

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Solution

The fourth proportional to 2,972, 4,454.52 and 1,022.48 is: 1,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972 : 4,454.52 = 1,022.48 : x
  2. Step 2: Convert to fraction form
    2,972/4,454.52 = 1,022.48/x
  3. Step 3: Cross multiply
    2,972x = 4,454.52 × 1,022.48
  4. Step 4: Simplify right side
    2,972x = 4,554,657.61
  5. Step 5: Solve for x
    x = 4,554,657.61/2,972
  6. Step 6: Final answer
    x = 1,532.52

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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.