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Finding the Fourth Proportional to 1,885.33, 2,604.30 and 1,448.69

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Solution

The fourth proportional to 1,885.33, 2,604.30 and 1,448.69 is: 2,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.33 : 2,604.30 = 1,448.69 : x
  2. Step 2: Convert to fraction form
    1,885.33/2,604.30 = 1,448.69/x
  3. Step 3: Cross multiply
    1,885.33x = 2,604.30 × 1,448.69
  4. Step 4: Simplify right side
    1,885.33x = 3,772,819.56
  5. Step 5: Solve for x
    x = 3,772,819.56/1,885.33
  6. Step 6: Final answer
    x = 2,001.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.