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Finding the Fourth Proportional to 2,825.39, 3,898.80 and 1,646.57

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Solution

The fourth proportional to 2,825.39, 3,898.80 and 1,646.57 is: 2,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.39 : 3,898.80 = 1,646.57 : x
  2. Step 2: Convert to fraction form
    2,825.39/3,898.80 = 1,646.57/x
  3. Step 3: Cross multiply
    2,825.39x = 3,898.80 × 1,646.57
  4. Step 4: Simplify right side
    2,825.39x = 6,419,656.86
  5. Step 5: Solve for x
    x = 6,419,656.86/2,825.39
  6. Step 6: Final answer
    x = 2,272.13

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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.