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Finding the Fourth Proportional to 2,101.30, 3,152.42 and 640.34

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Solution

The fourth proportional to 2,101.30, 3,152.42 and 640.34 is: 960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.30 : 3,152.42 = 640.34 : x
  2. Step 2: Convert to fraction form
    2,101.30/3,152.42 = 640.34/x
  3. Step 3: Cross multiply
    2,101.30x = 3,152.42 × 640.34
  4. Step 4: Simplify right side
    2,101.30x = 2,018,615.88
  5. Step 5: Solve for x
    x = 2,018,615.88/2,101.30
  6. Step 6: Final answer
    x = 960.65

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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.