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Finding the Fourth Proportional to 2,663.64, 3,672.50 and 2,072.92

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Solution

The fourth proportional to 2,663.64, 3,672.50 and 2,072.92 is: 2,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.64 : 3,672.50 = 2,072.92 : x
  2. Step 2: Convert to fraction form
    2,663.64/3,672.50 = 2,072.92/x
  3. Step 3: Cross multiply
    2,663.64x = 3,672.50 × 2,072.92
  4. Step 4: Simplify right side
    2,663.64x = 7,612,798.70
  5. Step 5: Solve for x
    x = 7,612,798.70/2,663.64
  6. Step 6: Final answer
    x = 2,858.04

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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.