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Finding the Fourth Proportional to 2,593.30, 3,892.47 and 1,853.74

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Solution

The fourth proportional to 2,593.30, 3,892.47 and 1,853.74 is: 2,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.30 : 3,892.47 = 1,853.74 : x
  2. Step 2: Convert to fraction form
    2,593.30/3,892.47 = 1,853.74/x
  3. Step 3: Cross multiply
    2,593.30x = 3,892.47 × 1,853.74
  4. Step 4: Simplify right side
    2,593.30x = 7,215,627.34
  5. Step 5: Solve for x
    x = 7,215,627.34/2,593.30
  6. Step 6: Final answer
    x = 2,782.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.