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Finding the Fourth Proportional to 2,134.48, 2,959.24 and 2,023.72

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Solution

The fourth proportional to 2,134.48, 2,959.24 and 2,023.72 is: 2,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.48 : 2,959.24 = 2,023.72 : x
  2. Step 2: Convert to fraction form
    2,134.48/2,959.24 = 2,023.72/x
  3. Step 3: Cross multiply
    2,134.48x = 2,959.24 × 2,023.72
  4. Step 4: Simplify right side
    2,134.48x = 5,988,673.17
  5. Step 5: Solve for x
    x = 5,988,673.17/2,134.48
  6. Step 6: Final answer
    x = 2,805.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.