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Finding the Fourth Proportional to 2,286.86, 3,443.16 and 2,085.47

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Solution

The fourth proportional to 2,286.86, 3,443.16 and 2,085.47 is: 3,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.86 : 3,443.16 = 2,085.47 : x
  2. Step 2: Convert to fraction form
    2,286.86/3,443.16 = 2,085.47/x
  3. Step 3: Cross multiply
    2,286.86x = 3,443.16 × 2,085.47
  4. Step 4: Simplify right side
    2,286.86x = 7,180,606.89
  5. Step 5: Solve for x
    x = 7,180,606.89/2,286.86
  6. Step 6: Final answer
    x = 3,139.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.