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Finding the Fourth Proportional to 2,866.66, 4,302.15 and 2,296.42

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Solution

The fourth proportional to 2,866.66, 4,302.15 and 2,296.42 is: 3,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.66 : 4,302.15 = 2,296.42 : x
  2. Step 2: Convert to fraction form
    2,866.66/4,302.15 = 2,296.42/x
  3. Step 3: Cross multiply
    2,866.66x = 4,302.15 × 2,296.42
  4. Step 4: Simplify right side
    2,866.66x = 9,879,543.30
  5. Step 5: Solve for x
    x = 9,879,543.30/2,866.66
  6. Step 6: Final answer
    x = 3,446.36

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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.