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Finding the Fourth Proportional to 3,243.36, 4,864.89 and 903.48

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Solution

The fourth proportional to 3,243.36, 4,864.89 and 903.48 is: 1,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.36 : 4,864.89 = 903.48 : x
  2. Step 2: Convert to fraction form
    3,243.36/4,864.89 = 903.48/x
  3. Step 3: Cross multiply
    3,243.36x = 4,864.89 × 903.48
  4. Step 4: Simplify right side
    3,243.36x = 4,395,330.82
  5. Step 5: Solve for x
    x = 4,395,330.82/3,243.36
  6. Step 6: Final answer
    x = 1,355.18

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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.