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Finding the Fourth Proportional to 1,306.00, 1,966.12 and 1,191.18

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Solution

The fourth proportional to 1,306.00, 1,966.12 and 1,191.18 is: 1,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.00 : 1,966.12 = 1,191.18 : x
  2. Step 2: Convert to fraction form
    1,306.00/1,966.12 = 1,191.18/x
  3. Step 3: Cross multiply
    1,306.00x = 1,966.12 × 1,191.18
  4. Step 4: Simplify right side
    1,306.00x = 2,342,008.39
  5. Step 5: Solve for x
    x = 2,342,008.39/1,306.00
  6. Step 6: Final answer
    x = 1,793.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.