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Finding the Fourth Proportional to 2,098.80, 3,147.30 and 1,058.40

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Solution

The fourth proportional to 2,098.80, 3,147.30 and 1,058.40 is: 1,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.80 : 3,147.30 = 1,058.40 : x
  2. Step 2: Convert to fraction form
    2,098.80/3,147.30 = 1,058.40/x
  3. Step 3: Cross multiply
    2,098.80x = 3,147.30 × 1,058.40
  4. Step 4: Simplify right side
    2,098.80x = 3,331,102.32
  5. Step 5: Solve for x
    x = 3,331,102.32/2,098.80
  6. Step 6: Final answer
    x = 1,587.15

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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.