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Finding the Fourth Proportional to 2,574.83, 3,862.20 and 1,341.56

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Solution

The fourth proportional to 2,574.83, 3,862.20 and 1,341.56 is: 2,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.83 : 3,862.20 = 1,341.56 : x
  2. Step 2: Convert to fraction form
    2,574.83/3,862.20 = 1,341.56/x
  3. Step 3: Cross multiply
    2,574.83x = 3,862.20 × 1,341.56
  4. Step 4: Simplify right side
    2,574.83x = 5,181,373.03
  5. Step 5: Solve for x
    x = 5,181,373.03/2,574.83
  6. Step 6: Final answer
    x = 2,012.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.