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Finding the Fourth Proportional to 2,007.78, 3,011.67 and 1,034.16

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Solution

The fourth proportional to 2,007.78, 3,011.67 and 1,034.16 is: 1,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.78 : 3,011.67 = 1,034.16 : x
  2. Step 2: Convert to fraction form
    2,007.78/3,011.67 = 1,034.16/x
  3. Step 3: Cross multiply
    2,007.78x = 3,011.67 × 1,034.16
  4. Step 4: Simplify right side
    2,007.78x = 3,114,548.65
  5. Step 5: Solve for x
    x = 3,114,548.65/2,007.78
  6. Step 6: Final answer
    x = 1,551.24

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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.