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Finding the Fourth Proportional to 2,105.10, 3,154.10 and 1,007.06

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Solution

The fourth proportional to 2,105.10, 3,154.10 and 1,007.06 is: 1,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.10 : 3,154.10 = 1,007.06 : x
  2. Step 2: Convert to fraction form
    2,105.10/3,154.10 = 1,007.06/x
  3. Step 3: Cross multiply
    2,105.10x = 3,154.10 × 1,007.06
  4. Step 4: Simplify right side
    2,105.10x = 3,176,347.14
  5. Step 5: Solve for x
    x = 3,176,347.14/2,105.10
  6. Step 6: Final answer
    x = 1,508.88

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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.