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Finding the Fourth Proportional to 2,112.72, 3,169.74 and 652.08

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Solution

The fourth proportional to 2,112.72, 3,169.74 and 652.08 is: 978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.72 : 3,169.74 = 652.08 : x
  2. Step 2: Convert to fraction form
    2,112.72/3,169.74 = 652.08/x
  3. Step 3: Cross multiply
    2,112.72x = 3,169.74 × 652.08
  4. Step 4: Simplify right side
    2,112.72x = 2,066,924.06
  5. Step 5: Solve for x
    x = 2,066,924.06/2,112.72
  6. Step 6: Final answer
    x = 978.32

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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.