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Finding the Fourth Proportional to 2,177.68, 3,266.96 and 716.80

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Solution

The fourth proportional to 2,177.68, 3,266.96 and 716.80 is: 1,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.68 : 3,266.96 = 716.80 : x
  2. Step 2: Convert to fraction form
    2,177.68/3,266.96 = 716.80/x
  3. Step 3: Cross multiply
    2,177.68x = 3,266.96 × 716.80
  4. Step 4: Simplify right side
    2,177.68x = 2,341,756.93
  5. Step 5: Solve for x
    x = 2,341,756.93/2,177.68
  6. Step 6: Final answer
    x = 1,075.34

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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.