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Finding the Fourth Proportional to 2,306.67, 3,458.92 and 1,866.84

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Solution

The fourth proportional to 2,306.67, 3,458.92 and 1,866.84 is: 2,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.67 : 3,458.92 = 1,866.84 : x
  2. Step 2: Convert to fraction form
    2,306.67/3,458.92 = 1,866.84/x
  3. Step 3: Cross multiply
    2,306.67x = 3,458.92 × 1,866.84
  4. Step 4: Simplify right side
    2,306.67x = 6,457,250.21
  5. Step 5: Solve for x
    x = 6,457,250.21/2,306.67
  6. Step 6: Final answer
    x = 2,799.38

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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.