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Finding the Fourth Proportional to 2,866.70, 4,296.40 and 2,494.96

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Solution

The fourth proportional to 2,866.70, 4,296.40 and 2,494.96 is: 3,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.70 : 4,296.40 = 2,494.96 : x
  2. Step 2: Convert to fraction form
    2,866.70/4,296.40 = 2,494.96/x
  3. Step 3: Cross multiply
    2,866.70x = 4,296.40 × 2,494.96
  4. Step 4: Simplify right side
    2,866.70x = 10,719,346.14
  5. Step 5: Solve for x
    x = 10,719,346.14/2,866.70
  6. Step 6: Final answer
    x = 3,739.26

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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.