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Finding the Fourth Proportional to 2,012.24, 2,776.87 and 1,304.35

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Solution

The fourth proportional to 2,012.24, 2,776.87 and 1,304.35 is: 1,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.24 : 2,776.87 = 1,304.35 : x
  2. Step 2: Convert to fraction form
    2,012.24/2,776.87 = 1,304.35/x
  3. Step 3: Cross multiply
    2,012.24x = 2,776.87 × 1,304.35
  4. Step 4: Simplify right side
    2,012.24x = 3,622,010.38
  5. Step 5: Solve for x
    x = 3,622,010.38/2,012.24
  6. Step 6: Final answer
    x = 1,799.99

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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.