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Finding the Fourth Proportional to 2,039, 3,058.62 and 578.02

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Solution

The fourth proportional to 2,039, 3,058.62 and 578.02 is: 867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039 : 3,058.62 = 578.02 : x
  2. Step 2: Convert to fraction form
    2,039/3,058.62 = 578.02/x
  3. Step 3: Cross multiply
    2,039x = 3,058.62 × 578.02
  4. Step 4: Simplify right side
    2,039x = 1,767,943.53
  5. Step 5: Solve for x
    x = 1,767,943.53/2,039
  6. Step 6: Final answer
    x = 867.06

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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.