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Finding the Fourth Proportional to 2,294.69, 3,166.68 and 1,246.76

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Solution

The fourth proportional to 2,294.69, 3,166.68 and 1,246.76 is: 1,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.69 : 3,166.68 = 1,246.76 : x
  2. Step 2: Convert to fraction form
    2,294.69/3,166.68 = 1,246.76/x
  3. Step 3: Cross multiply
    2,294.69x = 3,166.68 × 1,246.76
  4. Step 4: Simplify right side
    2,294.69x = 3,948,074.12
  5. Step 5: Solve for x
    x = 3,948,074.12/2,294.69
  6. Step 6: Final answer
    x = 1,720.53

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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.