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Finding the Fourth Proportional to 2,753.58, 3,798.86 and 1,574.02

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Solution

The fourth proportional to 2,753.58, 3,798.86 and 1,574.02 is: 2,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.58 : 3,798.86 = 1,574.02 : x
  2. Step 2: Convert to fraction form
    2,753.58/3,798.86 = 1,574.02/x
  3. Step 3: Cross multiply
    2,753.58x = 3,798.86 × 1,574.02
  4. Step 4: Simplify right side
    2,753.58x = 5,979,485.55
  5. Step 5: Solve for x
    x = 5,979,485.55/2,753.58
  6. Step 6: Final answer
    x = 2,171.53

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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.