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Finding the Fourth Proportional to 2,717.96, 3,750.71 and 1,539.41

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Solution

The fourth proportional to 2,717.96, 3,750.71 and 1,539.41 is: 2,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.96 : 3,750.71 = 1,539.41 : x
  2. Step 2: Convert to fraction form
    2,717.96/3,750.71 = 1,539.41/x
  3. Step 3: Cross multiply
    2,717.96x = 3,750.71 × 1,539.41
  4. Step 4: Simplify right side
    2,717.96x = 5,773,854.03
  5. Step 5: Solve for x
    x = 5,773,854.03/2,717.96
  6. Step 6: Final answer
    x = 2,124.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.