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Finding the Fourth Proportional to 2,039.19, 3,058.38 and 652.20

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Solution

The fourth proportional to 2,039.19, 3,058.38 and 652.20 is: 978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.19 : 3,058.38 = 652.20 : x
  2. Step 2: Convert to fraction form
    2,039.19/3,058.38 = 652.20/x
  3. Step 3: Cross multiply
    2,039.19x = 3,058.38 × 652.20
  4. Step 4: Simplify right side
    2,039.19x = 1,994,675.44
  5. Step 5: Solve for x
    x = 1,994,675.44/2,039.19
  6. Step 6: Final answer
    x = 978.17

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