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Finding the Fourth Proportional to 2,602.20, 3,884.76 and 2,511.08

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Solution

The fourth proportional to 2,602.20, 3,884.76 and 2,511.08 is: 3,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.20 : 3,884.76 = 2,511.08 : x
  2. Step 2: Convert to fraction form
    2,602.20/3,884.76 = 2,511.08/x
  3. Step 3: Cross multiply
    2,602.20x = 3,884.76 × 2,511.08
  4. Step 4: Simplify right side
    2,602.20x = 9,754,943.14
  5. Step 5: Solve for x
    x = 9,754,943.14/2,602.20
  6. Step 6: Final answer
    x = 3,748.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.