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Finding the Fourth Proportional to 1,548.27, 2,322.81 and 898.38

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Solution

The fourth proportional to 1,548.27, 2,322.81 and 898.38 is: 1,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.27 : 2,322.81 = 898.38 : x
  2. Step 2: Convert to fraction form
    1,548.27/2,322.81 = 898.38/x
  3. Step 3: Cross multiply
    1,548.27x = 2,322.81 × 898.38
  4. Step 4: Simplify right side
    1,548.27x = 2,086,766.05
  5. Step 5: Solve for x
    x = 2,086,766.05/1,548.27
  6. Step 6: Final answer
    x = 1,347.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.