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Finding the Fourth Proportional to 2,898.48, 4,001.92 and 2,234.24

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Solution

The fourth proportional to 2,898.48, 4,001.92 and 2,234.24 is: 3,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.48 : 4,001.92 = 2,234.24 : x
  2. Step 2: Convert to fraction form
    2,898.48/4,001.92 = 2,234.24/x
  3. Step 3: Cross multiply
    2,898.48x = 4,001.92 × 2,234.24
  4. Step 4: Simplify right side
    2,898.48x = 8,941,249.74
  5. Step 5: Solve for x
    x = 8,941,249.74/2,898.48
  6. Step 6: Final answer
    x = 3,084.81

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1.5x scale

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.