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Finding the Fourth Proportional to 2,058.67, 3,084.13 and 1,017.46

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Solution

The fourth proportional to 2,058.67, 3,084.13 and 1,017.46 is: 1,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.67 : 3,084.13 = 1,017.46 : x
  2. Step 2: Convert to fraction form
    2,058.67/3,084.13 = 1,017.46/x
  3. Step 3: Cross multiply
    2,058.67x = 3,084.13 × 1,017.46
  4. Step 4: Simplify right side
    2,058.67x = 3,137,978.91
  5. Step 5: Solve for x
    x = 3,137,978.91/2,058.67
  6. Step 6: Final answer
    x = 1,524.27

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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.