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Finding the Fourth Proportional to 2,294.73, 3,166.71 and 1,246.80

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Solution

The fourth proportional to 2,294.73, 3,166.71 and 1,246.80 is: 1,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.73 : 3,166.71 = 1,246.80 : x
  2. Step 2: Convert to fraction form
    2,294.73/3,166.71 = 1,246.80/x
  3. Step 3: Cross multiply
    2,294.73x = 3,166.71 × 1,246.80
  4. Step 4: Simplify right side
    2,294.73x = 3,948,254.03
  5. Step 5: Solve for x
    x = 3,948,254.03/2,294.73
  6. Step 6: Final answer
    x = 1,720.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.