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Finding the Fourth Proportional to 2,287.02, 3,431.06 and 826.18

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Solution

The fourth proportional to 2,287.02, 3,431.06 and 826.18 is: 1,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.02 : 3,431.06 = 826.18 : x
  2. Step 2: Convert to fraction form
    2,287.02/3,431.06 = 826.18/x
  3. Step 3: Cross multiply
    2,287.02x = 3,431.06 × 826.18
  4. Step 4: Simplify right side
    2,287.02x = 2,834,656.70
  5. Step 5: Solve for x
    x = 2,834,656.70/2,287.02
  6. Step 6: Final answer
    x = 1,239.45

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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.