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Finding the Fourth Proportional to 1,540.38, 2,309.76 and 882.26

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Solution

The fourth proportional to 1,540.38, 2,309.76 and 882.26 is: 1,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.38 : 2,309.76 = 882.26 : x
  2. Step 2: Convert to fraction form
    1,540.38/2,309.76 = 882.26/x
  3. Step 3: Cross multiply
    1,540.38x = 2,309.76 × 882.26
  4. Step 4: Simplify right side
    1,540.38x = 2,037,808.86
  5. Step 5: Solve for x
    x = 2,037,808.86/1,540.38
  6. Step 6: Final answer
    x = 1,322.93

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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.