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Finding the Fourth Proportional to 2,177.67, 3,266.96 and 716.79

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Solution

The fourth proportional to 2,177.67, 3,266.96 and 716.79 is: 1,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.67 : 3,266.96 = 716.79 : x
  2. Step 2: Convert to fraction form
    2,177.67/3,266.96 = 716.79/x
  3. Step 3: Cross multiply
    2,177.67x = 3,266.96 × 716.79
  4. Step 4: Simplify right side
    2,177.67x = 2,341,724.26
  5. Step 5: Solve for x
    x = 2,341,724.26/2,177.67
  6. Step 6: Final answer
    x = 1,075.33

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1.5x scale

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.