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Finding the Fourth Proportional to 2,039.41, 3,058.71 and 578.17

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Solution

The fourth proportional to 2,039.41, 3,058.71 and 578.17 is: 867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.41 : 3,058.71 = 578.17 : x
  2. Step 2: Convert to fraction form
    2,039.41/3,058.71 = 578.17/x
  3. Step 3: Cross multiply
    2,039.41x = 3,058.71 × 578.17
  4. Step 4: Simplify right side
    2,039.41x = 1,768,454.36
  5. Step 5: Solve for x
    x = 1,768,454.36/2,039.41
  6. Step 6: Final answer
    x = 867.14

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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.