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Finding the Fourth Proportional to 2,306.82, 3,184.81 and 1,560.90

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Solution

The fourth proportional to 2,306.82, 3,184.81 and 1,560.90 is: 2,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.82 : 3,184.81 = 1,560.90 : x
  2. Step 2: Convert to fraction form
    2,306.82/3,184.81 = 1,560.90/x
  3. Step 3: Cross multiply
    2,306.82x = 3,184.81 × 1,560.90
  4. Step 4: Simplify right side
    2,306.82x = 4,971,169.93
  5. Step 5: Solve for x
    x = 4,971,169.93/2,306.82
  6. Step 6: Final answer
    x = 2,154.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.