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Finding the Fourth Proportional to 2,022.77, 3,034.89 and 706.72

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Solution

The fourth proportional to 2,022.77, 3,034.89 and 706.72 is: 1,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.77 : 3,034.89 = 706.72 : x
  2. Step 2: Convert to fraction form
    2,022.77/3,034.89 = 706.72/x
  3. Step 3: Cross multiply
    2,022.77x = 3,034.89 × 706.72
  4. Step 4: Simplify right side
    2,022.77x = 2,144,798.75
  5. Step 5: Solve for x
    x = 2,144,798.75/2,022.77
  6. Step 6: Final answer
    x = 1,060.33

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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.