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Finding the Fourth Proportional to 2,752.86, 3,798.57 and 1,574.01

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Solution

The fourth proportional to 2,752.86, 3,798.57 and 1,574.01 is: 2,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.86 : 3,798.57 = 1,574.01 : x
  2. Step 2: Convert to fraction form
    2,752.86/3,798.57 = 1,574.01/x
  3. Step 3: Cross multiply
    2,752.86x = 3,798.57 × 1,574.01
  4. Step 4: Simplify right side
    2,752.86x = 5,978,987.17
  5. Step 5: Solve for x
    x = 5,978,987.17/2,752.86
  6. Step 6: Final answer
    x = 2,171.92

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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.