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Finding the Fourth Proportional to 2,113.82, 3,169.22 and 652.16

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Solution

The fourth proportional to 2,113.82, 3,169.22 and 652.16 is: 977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.82 : 3,169.22 = 652.16 : x
  2. Step 2: Convert to fraction form
    2,113.82/3,169.22 = 652.16/x
  3. Step 3: Cross multiply
    2,113.82x = 3,169.22 × 652.16
  4. Step 4: Simplify right side
    2,113.82x = 2,066,819.41
  5. Step 5: Solve for x
    x = 2,066,819.41/2,113.82
  6. Step 6: Final answer
    x = 977.77

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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.