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Finding the Fourth Proportional to 1,383.30, 2,073.15 and 998.10

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Solution

The fourth proportional to 1,383.30, 2,073.15 and 998.10 is: 1,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.30 : 2,073.15 = 998.10 : x
  2. Step 2: Convert to fraction form
    1,383.30/2,073.15 = 998.10/x
  3. Step 3: Cross multiply
    1,383.30x = 2,073.15 × 998.10
  4. Step 4: Simplify right side
    1,383.30x = 2,069,211.02
  5. Step 5: Solve for x
    x = 2,069,211.02/1,383.30
  6. Step 6: Final answer
    x = 1,495.85

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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.