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Finding the Fourth Proportional to 2,582.56, 3,561.24 and 2,433.76

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Solution

The fourth proportional to 2,582.56, 3,561.24 and 2,433.76 is: 3,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.56 : 3,561.24 = 2,433.76 : x
  2. Step 2: Convert to fraction form
    2,582.56/3,561.24 = 2,433.76/x
  3. Step 3: Cross multiply
    2,582.56x = 3,561.24 × 2,433.76
  4. Step 4: Simplify right side
    2,582.56x = 8,667,203.46
  5. Step 5: Solve for x
    x = 8,667,203.46/2,582.56
  6. Step 6: Final answer
    x = 3,356.05

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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.