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Finding the Fourth Proportional to 2,715.76, 4,074.36 and 866.80

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Solution

The fourth proportional to 2,715.76, 4,074.36 and 866.80 is: 1,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.76 : 4,074.36 = 866.80 : x
  2. Step 2: Convert to fraction form
    2,715.76/4,074.36 = 866.80/x
  3. Step 3: Cross multiply
    2,715.76x = 4,074.36 × 866.80
  4. Step 4: Simplify right side
    2,715.76x = 3,531,655.25
  5. Step 5: Solve for x
    x = 3,531,655.25/2,715.76
  6. Step 6: Final answer
    x = 1,300.43

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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.