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Finding the Fourth Proportional to 2,752.25, 3,797.81 and 1,557.36

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Solution

The fourth proportional to 2,752.25, 3,797.81 and 1,557.36 is: 2,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.25 : 3,797.81 = 1,557.36 : x
  2. Step 2: Convert to fraction form
    2,752.25/3,797.81 = 1,557.36/x
  3. Step 3: Cross multiply
    2,752.25x = 3,797.81 × 1,557.36
  4. Step 4: Simplify right side
    2,752.25x = 5,914,549.59
  5. Step 5: Solve for x
    x = 5,914,549.59/2,752.25
  6. Step 6: Final answer
    x = 2,148.99

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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.