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Finding the Fourth Proportional to 2,532.86, 3,799.29 and 2,023.10

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Solution

The fourth proportional to 2,532.86, 3,799.29 and 2,023.10 is: 3,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.86 : 3,799.29 = 2,023.10 : x
  2. Step 2: Convert to fraction form
    2,532.86/3,799.29 = 2,023.10/x
  3. Step 3: Cross multiply
    2,532.86x = 3,799.29 × 2,023.10
  4. Step 4: Simplify right side
    2,532.86x = 7,686,343.60
  5. Step 5: Solve for x
    x = 7,686,343.60/2,532.86
  6. Step 6: Final answer
    x = 3,034.65

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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.