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Finding the Fourth Proportional to 2,752.10, 3,797.79 and 1,557.12

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Solution

The fourth proportional to 2,752.10, 3,797.79 and 1,557.12 is: 2,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.10 : 3,797.79 = 1,557.12 : x
  2. Step 2: Convert to fraction form
    2,752.10/3,797.79 = 1,557.12/x
  3. Step 3: Cross multiply
    2,752.10x = 3,797.79 × 1,557.12
  4. Step 4: Simplify right side
    2,752.10x = 5,913,614.76
  5. Step 5: Solve for x
    x = 5,913,614.76/2,752.10
  6. Step 6: Final answer
    x = 2,148.77

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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.