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Finding the Fourth Proportional to 2,038.92, 3,058.29 and 578.04

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Solution

The fourth proportional to 2,038.92, 3,058.29 and 578.04 is: 867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.92 : 3,058.29 = 578.04 : x
  2. Step 2: Convert to fraction form
    2,038.92/3,058.29 = 578.04/x
  3. Step 3: Cross multiply
    2,038.92x = 3,058.29 × 578.04
  4. Step 4: Simplify right side
    2,038.92x = 1,767,813.95
  5. Step 5: Solve for x
    x = 1,767,813.95/2,038.92
  6. Step 6: Final answer
    x = 867.03

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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.