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Finding the Fourth Proportional to 2,298.63, 3,170.49 and 1,414.92

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Solution

The fourth proportional to 2,298.63, 3,170.49 and 1,414.92 is: 1,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.63 : 3,170.49 = 1,414.92 : x
  2. Step 2: Convert to fraction form
    2,298.63/3,170.49 = 1,414.92/x
  3. Step 3: Cross multiply
    2,298.63x = 3,170.49 × 1,414.92
  4. Step 4: Simplify right side
    2,298.63x = 4,485,989.71
  5. Step 5: Solve for x
    x = 4,485,989.71/2,298.63
  6. Step 6: Final answer
    x = 1,951.59

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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.