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Finding the Fourth Proportional to 2,381.82, 3,572.82 and 650.45

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Solution

The fourth proportional to 2,381.82, 3,572.82 and 650.45 is: 975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.82 : 3,572.82 = 650.45 : x
  2. Step 2: Convert to fraction form
    2,381.82/3,572.82 = 650.45/x
  3. Step 3: Cross multiply
    2,381.82x = 3,572.82 × 650.45
  4. Step 4: Simplify right side
    2,381.82x = 2,323,922.90
  5. Step 5: Solve for x
    x = 2,323,922.90/2,381.82
  6. Step 6: Final answer
    x = 975.69

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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.