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Finding the Fourth Proportional to 2,177.40, 3,266.28 and 861.07

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Solution

The fourth proportional to 2,177.40, 3,266.28 and 861.07 is: 1,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.40 : 3,266.28 = 861.07 : x
  2. Step 2: Convert to fraction form
    2,177.40/3,266.28 = 861.07/x
  3. Step 3: Cross multiply
    2,177.40x = 3,266.28 × 861.07
  4. Step 4: Simplify right side
    2,177.40x = 2,812,495.72
  5. Step 5: Solve for x
    x = 2,812,495.72/2,177.40
  6. Step 6: Final answer
    x = 1,291.68

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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.