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Finding the Fourth Proportional to 2,113.79, 3,171.30 and 653.18

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Solution

The fourth proportional to 2,113.79, 3,171.30 and 653.18 is: 979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.79 : 3,171.30 = 653.18 : x
  2. Step 2: Convert to fraction form
    2,113.79/3,171.30 = 653.18/x
  3. Step 3: Cross multiply
    2,113.79x = 3,171.30 × 653.18
  4. Step 4: Simplify right side
    2,113.79x = 2,071,429.73
  5. Step 5: Solve for x
    x = 2,071,429.73/2,113.79
  6. Step 6: Final answer
    x = 979.96

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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.