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Finding the Fourth Proportional to 2,112.78, 3,169.64 and 652.06

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Solution

The fourth proportional to 2,112.78, 3,169.64 and 652.06 is: 978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.78 : 3,169.64 = 652.06 : x
  2. Step 2: Convert to fraction form
    2,112.78/3,169.64 = 652.06/x
  3. Step 3: Cross multiply
    2,112.78x = 3,169.64 × 652.06
  4. Step 4: Simplify right side
    2,112.78x = 2,066,795.46
  5. Step 5: Solve for x
    x = 2,066,795.46/2,112.78
  6. Step 6: Final answer
    x = 978.24

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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.