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Finding the Fourth Proportional to 2,672.01, 4,006.64 and 1,561.80

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Solution

The fourth proportional to 2,672.01, 4,006.64 and 1,561.80 is: 2,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.01 : 4,006.64 = 1,561.80 : x
  2. Step 2: Convert to fraction form
    2,672.01/4,006.64 = 1,561.80/x
  3. Step 3: Cross multiply
    2,672.01x = 4,006.64 × 1,561.80
  4. Step 4: Simplify right side
    2,672.01x = 6,257,589.28
  5. Step 5: Solve for x
    x = 6,257,589.28/2,672.01
  6. Step 6: Final answer
    x = 2,341.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.