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Finding the Fourth Proportional to 2,589.90, 3,574.11 and 1,470.88

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Solution

The fourth proportional to 2,589.90, 3,574.11 and 1,470.88 is: 2,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.90 : 3,574.11 = 1,470.88 : x
  2. Step 2: Convert to fraction form
    2,589.90/3,574.11 = 1,470.88/x
  3. Step 3: Cross multiply
    2,589.90x = 3,574.11 × 1,470.88
  4. Step 4: Simplify right side
    2,589.90x = 5,257,086.92
  5. Step 5: Solve for x
    x = 5,257,086.92/2,589.90
  6. Step 6: Final answer
    x = 2,029.84

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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.