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Finding the Fourth Proportional to 2,578.01, 3,560.56 and 1,742.17

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Solution

The fourth proportional to 2,578.01, 3,560.56 and 1,742.17 is: 2,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.01 : 3,560.56 = 1,742.17 : x
  2. Step 2: Convert to fraction form
    2,578.01/3,560.56 = 1,742.17/x
  3. Step 3: Cross multiply
    2,578.01x = 3,560.56 × 1,742.17
  4. Step 4: Simplify right side
    2,578.01x = 6,203,083.20
  5. Step 5: Solve for x
    x = 6,203,083.20/2,578.01
  6. Step 6: Final answer
    x = 2,406.15

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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.