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Finding the Fourth Proportional to 2,058.92, 3,084.51 and 1,017.71

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Solution

The fourth proportional to 2,058.92, 3,084.51 and 1,017.71 is: 1,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.92 : 3,084.51 = 1,017.71 : x
  2. Step 2: Convert to fraction form
    2,058.92/3,084.51 = 1,017.71/x
  3. Step 3: Cross multiply
    2,058.92x = 3,084.51 × 1,017.71
  4. Step 4: Simplify right side
    2,058.92x = 3,139,136.67
  5. Step 5: Solve for x
    x = 3,139,136.67/2,058.92
  6. Step 6: Final answer
    x = 1,524.65

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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.