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Finding the Fourth Proportional to 2,101.19, 3,151.57 and 640.35

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Solution

The fourth proportional to 2,101.19, 3,151.57 and 640.35 is: 960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.19 : 3,151.57 = 640.35 : x
  2. Step 2: Convert to fraction form
    2,101.19/3,151.57 = 640.35/x
  3. Step 3: Cross multiply
    2,101.19x = 3,151.57 × 640.35
  4. Step 4: Simplify right side
    2,101.19x = 2,018,107.85
  5. Step 5: Solve for x
    x = 2,018,107.85/2,101.19
  6. Step 6: Final answer
    x = 960.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.