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Finding the Fourth Proportional to 3,465.68, 4,781.75 and 2,049.30

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Solution

The fourth proportional to 3,465.68, 4,781.75 and 2,049.30 is: 2,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.68 : 4,781.75 = 2,049.30 : x
  2. Step 2: Convert to fraction form
    3,465.68/4,781.75 = 2,049.30/x
  3. Step 3: Cross multiply
    3,465.68x = 4,781.75 × 2,049.30
  4. Step 4: Simplify right side
    3,465.68x = 9,799,240.28
  5. Step 5: Solve for x
    x = 9,799,240.28/3,465.68
  6. Step 6: Final answer
    x = 2,827.51

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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.