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Finding the Fourth Proportional to 2,140.44, 3,204.42 and 1,316.22

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Solution

The fourth proportional to 2,140.44, 3,204.42 and 1,316.22 is: 1,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.44 : 3,204.42 = 1,316.22 : x
  2. Step 2: Convert to fraction form
    2,140.44/3,204.42 = 1,316.22/x
  3. Step 3: Cross multiply
    2,140.44x = 3,204.42 × 1,316.22
  4. Step 4: Simplify right side
    2,140.44x = 4,217,721.69
  5. Step 5: Solve for x
    x = 4,217,721.69/2,140.44
  6. Step 6: Final answer
    x = 1,970.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.