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Finding the Fourth Proportional to 1,607.05, 2,217.78 and 908.47

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Solution

The fourth proportional to 1,607.05, 2,217.78 and 908.47 is: 1,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.05 : 2,217.78 = 908.47 : x
  2. Step 2: Convert to fraction form
    1,607.05/2,217.78 = 908.47/x
  3. Step 3: Cross multiply
    1,607.05x = 2,217.78 × 908.47
  4. Step 4: Simplify right side
    1,607.05x = 2,014,786.60
  5. Step 5: Solve for x
    x = 2,014,786.60/1,607.05
  6. Step 6: Final answer
    x = 1,253.72

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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.