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Finding the Fourth Proportional to 2,293.72, 3,165.34 and 1,245.78

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Solution

The fourth proportional to 2,293.72, 3,165.34 and 1,245.78 is: 1,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.72 : 3,165.34 = 1,245.78 : x
  2. Step 2: Convert to fraction form
    2,293.72/3,165.34 = 1,245.78/x
  3. Step 3: Cross multiply
    2,293.72x = 3,165.34 × 1,245.78
  4. Step 4: Simplify right side
    2,293.72x = 3,943,317.27
  5. Step 5: Solve for x
    x = 3,943,317.27/2,293.72
  6. Step 6: Final answer
    x = 1,719.18

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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.