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Finding the Fourth Proportional to 3,394.68, 4,684.74 and 1,882.20

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Solution

The fourth proportional to 3,394.68, 4,684.74 and 1,882.20 is: 2,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.68 : 4,684.74 = 1,882.20 : x
  2. Step 2: Convert to fraction form
    3,394.68/4,684.74 = 1,882.20/x
  3. Step 3: Cross multiply
    3,394.68x = 4,684.74 × 1,882.20
  4. Step 4: Simplify right side
    3,394.68x = 8,817,617.63
  5. Step 5: Solve for x
    x = 8,817,617.63/3,394.68
  6. Step 6: Final answer
    x = 2,597.48

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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.