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Finding the Fourth Proportional to 1,790.23, 2,682.16 and 747.93

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Solution

The fourth proportional to 1,790.23, 2,682.16 and 747.93 is: 1,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.23 : 2,682.16 = 747.93 : x
  2. Step 2: Convert to fraction form
    1,790.23/2,682.16 = 747.93/x
  3. Step 3: Cross multiply
    1,790.23x = 2,682.16 × 747.93
  4. Step 4: Simplify right side
    1,790.23x = 2,006,078.92
  5. Step 5: Solve for x
    x = 2,006,078.92/1,790.23
  6. Step 6: Final answer
    x = 1,120.57

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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.