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Finding the Fourth Proportional to 1,652.86, 2,283.78 and 1,593.73

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Solution

The fourth proportional to 1,652.86, 2,283.78 and 1,593.73 is: 2,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.86 : 2,283.78 = 1,593.73 : x
  2. Step 2: Convert to fraction form
    1,652.86/2,283.78 = 1,593.73/x
  3. Step 3: Cross multiply
    1,652.86x = 2,283.78 × 1,593.73
  4. Step 4: Simplify right side
    1,652.86x = 3,639,728.70
  5. Step 5: Solve for x
    x = 3,639,728.70/1,652.86
  6. Step 6: Final answer
    x = 2,202.08

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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.