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Finding the Fourth Proportional to 2,113.68, 3,170.70 and 653.04

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Solution

The fourth proportional to 2,113.68, 3,170.70 and 653.04 is: 979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.68 : 3,170.70 = 653.04 : x
  2. Step 2: Convert to fraction form
    2,113.68/3,170.70 = 653.04/x
  3. Step 3: Cross multiply
    2,113.68x = 3,170.70 × 653.04
  4. Step 4: Simplify right side
    2,113.68x = 2,070,593.93
  5. Step 5: Solve for x
    x = 2,070,593.93/2,113.68
  6. Step 6: Final answer
    x = 979.62

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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.