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Finding the Fourth Proportional to 2,971.60, 4,101.32 and 2,189.68

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Solution

The fourth proportional to 2,971.60, 4,101.32 and 2,189.68 is: 3,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.60 : 4,101.32 = 2,189.68 : x
  2. Step 2: Convert to fraction form
    2,971.60/4,101.32 = 2,189.68/x
  3. Step 3: Cross multiply
    2,971.60x = 4,101.32 × 2,189.68
  4. Step 4: Simplify right side
    2,971.60x = 8,980,578.38
  5. Step 5: Solve for x
    x = 8,980,578.38/2,971.60
  6. Step 6: Final answer
    x = 3,022.14

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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.