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Finding the Fourth Proportional to 2,195.96, 3,030.38 and 1,311.76

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Solution

The fourth proportional to 2,195.96, 3,030.38 and 1,311.76 is: 1,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.96 : 3,030.38 = 1,311.76 : x
  2. Step 2: Convert to fraction form
    2,195.96/3,030.38 = 1,311.76/x
  3. Step 3: Cross multiply
    2,195.96x = 3,030.38 × 1,311.76
  4. Step 4: Simplify right side
    2,195.96x = 3,975,131.27
  5. Step 5: Solve for x
    x = 3,975,131.27/2,195.96
  6. Step 6: Final answer
    x = 1,810.20

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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.