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Finding the Fourth Proportional to 2,039.07, 3,058.57 and 652.41

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Solution

The fourth proportional to 2,039.07, 3,058.57 and 652.41 is: 978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.07 : 3,058.57 = 652.41 : x
  2. Step 2: Convert to fraction form
    2,039.07/3,058.57 = 652.41/x
  3. Step 3: Cross multiply
    2,039.07x = 3,058.57 × 652.41
  4. Step 4: Simplify right side
    2,039.07x = 1,995,449.24
  5. Step 5: Solve for x
    x = 1,995,449.24/2,039.07
  6. Step 6: Final answer
    x = 978.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.