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Finding the Fourth Proportional to 2,752.50, 3,798.03 and 1,557.27

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Solution

The fourth proportional to 2,752.50, 3,798.03 and 1,557.27 is: 2,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.50 : 3,798.03 = 1,557.27 : x
  2. Step 2: Convert to fraction form
    2,752.50/3,798.03 = 1,557.27/x
  3. Step 3: Cross multiply
    2,752.50x = 3,798.03 × 1,557.27
  4. Step 4: Simplify right side
    2,752.50x = 5,914,558.18
  5. Step 5: Solve for x
    x = 5,914,558.18/2,752.50
  6. Step 6: Final answer
    x = 2,148.79

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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.