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Finding the Fourth Proportional to 2,113.38, 3,170.10 and 957.78

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Solution

The fourth proportional to 2,113.38, 3,170.10 and 957.78 is: 1,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.38 : 3,170.10 = 957.78 : x
  2. Step 2: Convert to fraction form
    2,113.38/3,170.10 = 957.78/x
  3. Step 3: Cross multiply
    2,113.38x = 3,170.10 × 957.78
  4. Step 4: Simplify right side
    2,113.38x = 3,036,258.38
  5. Step 5: Solve for x
    x = 3,036,258.38/2,113.38
  6. Step 6: Final answer
    x = 1,436.68

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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.