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Finding the Fourth Proportional to 2,589.99, 3,574.40 and 1,595.61

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Solution

The fourth proportional to 2,589.99, 3,574.40 and 1,595.61 is: 2,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.99 : 3,574.40 = 1,595.61 : x
  2. Step 2: Convert to fraction form
    2,589.99/3,574.40 = 1,595.61/x
  3. Step 3: Cross multiply
    2,589.99x = 3,574.40 × 1,595.61
  4. Step 4: Simplify right side
    2,589.99x = 5,703,340.41
  5. Step 5: Solve for x
    x = 5,703,340.41/2,589.99
  6. Step 6: Final answer
    x = 2,202.07

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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.