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Finding the Fourth Proportional to 2,101.34, 3,151.58 and 640.20

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Solution

The fourth proportional to 2,101.34, 3,151.58 and 640.20 is: 960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.34 : 3,151.58 = 640.20 : x
  2. Step 2: Convert to fraction form
    2,101.34/3,151.58 = 640.20/x
  3. Step 3: Cross multiply
    2,101.34x = 3,151.58 × 640.20
  4. Step 4: Simplify right side
    2,101.34x = 2,017,641.52
  5. Step 5: Solve for x
    x = 2,017,641.52/2,101.34
  6. Step 6: Final answer
    x = 960.17

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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.