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Finding the Fourth Proportional to 1,377.80, 2,062.65 and 1,215.80

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Solution

The fourth proportional to 1,377.80, 2,062.65 and 1,215.80 is: 1,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.80 : 2,062.65 = 1,215.80 : x
  2. Step 2: Convert to fraction form
    1,377.80/2,062.65 = 1,215.80/x
  3. Step 3: Cross multiply
    1,377.80x = 2,062.65 × 1,215.80
  4. Step 4: Simplify right side
    1,377.80x = 2,507,769.87
  5. Step 5: Solve for x
    x = 2,507,769.87/1,377.80
  6. Step 6: Final answer
    x = 1,820.13

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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.