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Finding the Fourth Proportional to 2,294.66, 3,166.08 and 1,299.74

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Solution

The fourth proportional to 2,294.66, 3,166.08 and 1,299.74 is: 1,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.66 : 3,166.08 = 1,299.74 : x
  2. Step 2: Convert to fraction form
    2,294.66/3,166.08 = 1,299.74/x
  3. Step 3: Cross multiply
    2,294.66x = 3,166.08 × 1,299.74
  4. Step 4: Simplify right side
    2,294.66x = 4,115,064.99
  5. Step 5: Solve for x
    x = 4,115,064.99/2,294.66
  6. Step 6: Final answer
    x = 1,793.33

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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.