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Finding the Fourth Proportional to 2,602.04, 3,591.25 and 2,046.74

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Solution

The fourth proportional to 2,602.04, 3,591.25 and 2,046.74 is: 2,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.04 : 3,591.25 = 2,046.74 : x
  2. Step 2: Convert to fraction form
    2,602.04/3,591.25 = 2,046.74/x
  3. Step 3: Cross multiply
    2,602.04x = 3,591.25 × 2,046.74
  4. Step 4: Simplify right side
    2,602.04x = 7,350,331.95
  5. Step 5: Solve for x
    x = 7,350,331.95/2,602.04
  6. Step 6: Final answer
    x = 2,824.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.