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Finding the Fourth Proportional to 2,381.08, 3,571.51 and 649.71

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Solution

The fourth proportional to 2,381.08, 3,571.51 and 649.71 is: 974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.08 : 3,571.51 = 649.71 : x
  2. Step 2: Convert to fraction form
    2,381.08/3,571.51 = 649.71/x
  3. Step 3: Cross multiply
    2,381.08x = 3,571.51 × 649.71
  4. Step 4: Simplify right side
    2,381.08x = 2,320,445.76
  5. Step 5: Solve for x
    x = 2,320,445.76/2,381.08
  6. Step 6: Final answer
    x = 974.53

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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.