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Finding the Fourth Proportional to 2,572.97, 3,873.51 and 1,756.41

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Solution

The fourth proportional to 2,572.97, 3,873.51 and 1,756.41 is: 2,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.97 : 3,873.51 = 1,756.41 : x
  2. Step 2: Convert to fraction form
    2,572.97/3,873.51 = 1,756.41/x
  3. Step 3: Cross multiply
    2,572.97x = 3,873.51 × 1,756.41
  4. Step 4: Simplify right side
    2,572.97x = 6,803,471.70
  5. Step 5: Solve for x
    x = 6,803,471.70/2,572.97
  6. Step 6: Final answer
    x = 2,644.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.