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Finding the Fourth Proportional to 3,240.69, 4,472.05 and 1,824.46

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Solution

The fourth proportional to 3,240.69, 4,472.05 and 1,824.46 is: 2,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.69 : 4,472.05 = 1,824.46 : x
  2. Step 2: Convert to fraction form
    3,240.69/4,472.05 = 1,824.46/x
  3. Step 3: Cross multiply
    3,240.69x = 4,472.05 × 1,824.46
  4. Step 4: Simplify right side
    3,240.69x = 8,159,076.34
  5. Step 5: Solve for x
    x = 8,159,076.34/3,240.69
  6. Step 6: Final answer
    x = 2,517.70

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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.