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Finding the Fourth Proportional to 2,101.34, 3,151.81 and 640.51

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Solution

The fourth proportional to 2,101.34, 3,151.81 and 640.51 is: 960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.34 : 3,151.81 = 640.51 : x
  2. Step 2: Convert to fraction form
    2,101.34/3,151.81 = 640.51/x
  3. Step 3: Cross multiply
    2,101.34x = 3,151.81 × 640.51
  4. Step 4: Simplify right side
    2,101.34x = 2,018,758.74
  5. Step 5: Solve for x
    x = 2,018,758.74/2,101.34
  6. Step 6: Final answer
    x = 960.70

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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.