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Finding the Fourth Proportional to 2,101.57, 3,152.87 and 640.72

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Solution

The fourth proportional to 2,101.57, 3,152.87 and 640.72 is: 961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.57 : 3,152.87 = 640.72 : x
  2. Step 2: Convert to fraction form
    2,101.57/3,152.87 = 640.72/x
  3. Step 3: Cross multiply
    2,101.57x = 3,152.87 × 640.72
  4. Step 4: Simplify right side
    2,101.57x = 2,020,113.99
  5. Step 5: Solve for x
    x = 2,020,113.99/2,101.57
  6. Step 6: Final answer
    x = 961.24

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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.