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Finding the Fourth Proportional to 2,289.93, 3,436.31 and 903.02

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Solution

The fourth proportional to 2,289.93, 3,436.31 and 903.02 is: 1,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.93 : 3,436.31 = 903.02 : x
  2. Step 2: Convert to fraction form
    2,289.93/3,436.31 = 903.02/x
  3. Step 3: Cross multiply
    2,289.93x = 3,436.31 × 903.02
  4. Step 4: Simplify right side
    2,289.93x = 3,103,060.73
  5. Step 5: Solve for x
    x = 3,103,060.73/2,289.93
  6. Step 6: Final answer
    x = 1,355.09

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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.