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Finding the Fourth Proportional to 1,315.80, 1,996.56 and 1,315.80

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Solution

The fourth proportional to 1,315.80, 1,996.56 and 1,315.80 is: 1,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.80 : 1,996.56 = 1,315.80 : x
  2. Step 2: Convert to fraction form
    1,315.80/1,996.56 = 1,315.80/x
  3. Step 3: Cross multiply
    1,315.80x = 1,996.56 × 1,315.80
  4. Step 4: Simplify right side
    1,315.80x = 2,627,073.65
  5. Step 5: Solve for x
    x = 2,627,073.65/1,315.80
  6. Step 6: Final answer
    x = 1,996.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.