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Finding the Fourth Proportional to 2,176.15, 3,263.56 and 616.03

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Solution

The fourth proportional to 2,176.15, 3,263.56 and 616.03 is: 923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.15 : 3,263.56 = 616.03 : x
  2. Step 2: Convert to fraction form
    2,176.15/3,263.56 = 616.03/x
  3. Step 3: Cross multiply
    2,176.15x = 3,263.56 × 616.03
  4. Step 4: Simplify right side
    2,176.15x = 2,010,450.87
  5. Step 5: Solve for x
    x = 2,010,450.87/2,176.15
  6. Step 6: Final answer
    x = 923.86

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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.