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Finding the Fourth Proportional to 2,022.63, 3,034.10 and 706.15

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Solution

The fourth proportional to 2,022.63, 3,034.10 and 706.15 is: 1,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.63 : 3,034.10 = 706.15 : x
  2. Step 2: Convert to fraction form
    2,022.63/3,034.10 = 706.15/x
  3. Step 3: Cross multiply
    2,022.63x = 3,034.10 × 706.15
  4. Step 4: Simplify right side
    2,022.63x = 2,142,529.72
  5. Step 5: Solve for x
    x = 2,142,529.72/2,022.63
  6. Step 6: Final answer
    x = 1,059.28

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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.