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Finding the Fourth Proportional to 2,356.38, 3,252.67 and 2,023.47

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Solution

The fourth proportional to 2,356.38, 3,252.67 and 2,023.47 is: 2,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.38 : 3,252.67 = 2,023.47 : x
  2. Step 2: Convert to fraction form
    2,356.38/3,252.67 = 2,023.47/x
  3. Step 3: Cross multiply
    2,356.38x = 3,252.67 × 2,023.47
  4. Step 4: Simplify right side
    2,356.38x = 6,581,680.16
  5. Step 5: Solve for x
    x = 6,581,680.16/2,356.38
  6. Step 6: Final answer
    x = 2,793.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.