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Finding the Fourth Proportional to 1,634.28, 2,448.99 and 904.07

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Solution

The fourth proportional to 1,634.28, 2,448.99 and 904.07 is: 1,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.28 : 2,448.99 = 904.07 : x
  2. Step 2: Convert to fraction form
    1,634.28/2,448.99 = 904.07/x
  3. Step 3: Cross multiply
    1,634.28x = 2,448.99 × 904.07
  4. Step 4: Simplify right side
    1,634.28x = 2,214,058.39
  5. Step 5: Solve for x
    x = 2,214,058.39/1,634.28
  6. Step 6: Final answer
    x = 1,354.76

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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.