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Finding the Fourth Proportional to 1,913.12, 2,871.84 and 759.68

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Solution

The fourth proportional to 1,913.12, 2,871.84 and 759.68 is: 1,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.12 : 2,871.84 = 759.68 : x
  2. Step 2: Convert to fraction form
    1,913.12/2,871.84 = 759.68/x
  3. Step 3: Cross multiply
    1,913.12x = 2,871.84 × 759.68
  4. Step 4: Simplify right side
    1,913.12x = 2,181,679.41
  5. Step 5: Solve for x
    x = 2,181,679.41/1,913.12
  6. Step 6: Final answer
    x = 1,140.38

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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.