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Finding the Fourth Proportional to 2,589.85, 3,573.81 and 1,470.81

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Solution

The fourth proportional to 2,589.85, 3,573.81 and 1,470.81 is: 2,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.85 : 3,573.81 = 1,470.81 : x
  2. Step 2: Convert to fraction form
    2,589.85/3,573.81 = 1,470.81/x
  3. Step 3: Cross multiply
    2,589.85x = 3,573.81 × 1,470.81
  4. Step 4: Simplify right side
    2,589.85x = 5,256,395.49
  5. Step 5: Solve for x
    x = 5,256,395.49/2,589.85
  6. Step 6: Final answer
    x = 2,029.61

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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.