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Finding the Fourth Proportional to 2,866.52, 4,317.44 and 2,663.72

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Solution

The fourth proportional to 2,866.52, 4,317.44 and 2,663.72 is: 4,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.52 : 4,317.44 = 2,663.72 : x
  2. Step 2: Convert to fraction form
    2,866.52/4,317.44 = 2,663.72/x
  3. Step 3: Cross multiply
    2,866.52x = 4,317.44 × 2,663.72
  4. Step 4: Simplify right side
    2,866.52x = 11,500,451.28
  5. Step 5: Solve for x
    x = 11,500,451.28/2,866.52
  6. Step 6: Final answer
    x = 4,011.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.