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Finding the Fourth Proportional to 2,381.41, 3,572.13 and 650.04

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Solution

The fourth proportional to 2,381.41, 3,572.13 and 650.04 is: 975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.41 : 3,572.13 = 650.04 : x
  2. Step 2: Convert to fraction form
    2,381.41/3,572.13 = 650.04/x
  3. Step 3: Cross multiply
    2,381.41x = 3,572.13 × 650.04
  4. Step 4: Simplify right side
    2,381.41x = 2,322,027.39
  5. Step 5: Solve for x
    x = 2,322,027.39/2,381.41
  6. Step 6: Final answer
    x = 975.06

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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.