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Finding the Fourth Proportional to 2,589.32, 3,573.24 and 1,410.39

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Solution

The fourth proportional to 2,589.32, 3,573.24 and 1,410.39 is: 1,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.32 : 3,573.24 = 1,410.39 : x
  2. Step 2: Convert to fraction form
    2,589.32/3,573.24 = 1,410.39/x
  3. Step 3: Cross multiply
    2,589.32x = 3,573.24 × 1,410.39
  4. Step 4: Simplify right side
    2,589.32x = 5,039,650.59
  5. Step 5: Solve for x
    x = 5,039,650.59/2,589.32
  6. Step 6: Final answer
    x = 1,946.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.