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Finding the Fourth Proportional to 2,753.83, 3,800.46 and 1,558.81

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Solution

The fourth proportional to 2,753.83, 3,800.46 and 1,558.81 is: 2,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.83 : 3,800.46 = 1,558.81 : x
  2. Step 2: Convert to fraction form
    2,753.83/3,800.46 = 1,558.81/x
  3. Step 3: Cross multiply
    2,753.83x = 3,800.46 × 1,558.81
  4. Step 4: Simplify right side
    2,753.83x = 5,924,176.05
  5. Step 5: Solve for x
    x = 5,924,176.05/2,753.83
  6. Step 6: Final answer
    x = 2,151.25

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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.