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Finding the Fourth Proportional to 1,633.78, 2,448.24 and 903.57

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Solution

The fourth proportional to 1,633.78, 2,448.24 and 903.57 is: 1,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.78 : 2,448.24 = 903.57 : x
  2. Step 2: Convert to fraction form
    1,633.78/2,448.24 = 903.57/x
  3. Step 3: Cross multiply
    1,633.78x = 2,448.24 × 903.57
  4. Step 4: Simplify right side
    1,633.78x = 2,212,143.98
  5. Step 5: Solve for x
    x = 2,212,143.98/1,633.78
  6. Step 6: Final answer
    x = 1,354.00

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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.