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Finding the Fourth Proportional to 2,292.96, 3,165.04 and 1,348.74

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Solution

The fourth proportional to 2,292.96, 3,165.04 and 1,348.74 is: 1,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.96 : 3,165.04 = 1,348.74 : x
  2. Step 2: Convert to fraction form
    2,292.96/3,165.04 = 1,348.74/x
  3. Step 3: Cross multiply
    2,292.96x = 3,165.04 × 1,348.74
  4. Step 4: Simplify right side
    2,292.96x = 4,268,816.05
  5. Step 5: Solve for x
    x = 4,268,816.05/2,292.96
  6. Step 6: Final answer
    x = 1,861.71

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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.