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Finding the Fourth Proportional to 2,971.38, 4,097.06 and 2,410.11

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Solution

The fourth proportional to 2,971.38, 4,097.06 and 2,410.11 is: 3,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.38 : 4,097.06 = 2,410.11 : x
  2. Step 2: Convert to fraction form
    2,971.38/4,097.06 = 2,410.11/x
  3. Step 3: Cross multiply
    2,971.38x = 4,097.06 × 2,410.11
  4. Step 4: Simplify right side
    2,971.38x = 9,874,353.23
  5. Step 5: Solve for x
    x = 9,874,353.23/2,971.38
  6. Step 6: Final answer
    x = 3,323.15

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Why These Related Problems?

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