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Finding the Fourth Proportional to 2,589.58, 3,574.10 and 2,431.33

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Solution

The fourth proportional to 2,589.58, 3,574.10 and 2,431.33 is: 3,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.58 : 3,574.10 = 2,431.33 : x
  2. Step 2: Convert to fraction form
    2,589.58/3,574.10 = 2,431.33/x
  3. Step 3: Cross multiply
    2,589.58x = 3,574.10 × 2,431.33
  4. Step 4: Simplify right side
    2,589.58x = 8,689,795.46
  5. Step 5: Solve for x
    x = 8,689,795.46/2,589.58
  6. Step 6: Final answer
    x = 3,355.68

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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.