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Finding the Fourth Proportional to 2,039.15, 3,058.40 and 578.41

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Solution

The fourth proportional to 2,039.15, 3,058.40 and 578.41 is: 867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.15 : 3,058.40 = 578.41 : x
  2. Step 2: Convert to fraction form
    2,039.15/3,058.40 = 578.41/x
  3. Step 3: Cross multiply
    2,039.15x = 3,058.40 × 578.41
  4. Step 4: Simplify right side
    2,039.15x = 1,769,002.94
  5. Step 5: Solve for x
    x = 1,769,002.94/2,039.15
  6. Step 6: Final answer
    x = 867.52

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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.