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Finding the Fourth Proportional to 2,922.68, 4,379.07 and 1,766

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Solution

The fourth proportional to 2,922.68, 4,379.07 and 1,766 is: 2,646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.68 : 4,379.07 = 1,766 : x
  2. Step 2: Convert to fraction form
    2,922.68/4,379.07 = 1,766/x
  3. Step 3: Cross multiply
    2,922.68x = 4,379.07 × 1,766
  4. Step 4: Simplify right side
    2,922.68x = 7,733,437.62
  5. Step 5: Solve for x
    x = 7,733,437.62/2,922.68
  6. Step 6: Final answer
    x = 2,646.01

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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.