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Finding the Fourth Proportional to 2,048.24, 3,070.62 and 731.59

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Solution

The fourth proportional to 2,048.24, 3,070.62 and 731.59 is: 1,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.24 : 3,070.62 = 731.59 : x
  2. Step 2: Convert to fraction form
    2,048.24/3,070.62 = 731.59/x
  3. Step 3: Cross multiply
    2,048.24x = 3,070.62 × 731.59
  4. Step 4: Simplify right side
    2,048.24x = 2,246,434.89
  5. Step 5: Solve for x
    x = 2,246,434.89/2,048.24
  6. Step 6: Final answer
    x = 1,096.76

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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.