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Finding the Fourth Proportional to 1,589.81, 2,371.49 and 1,331.48

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Solution

The fourth proportional to 1,589.81, 2,371.49 and 1,331.48 is: 1,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.81 : 2,371.49 = 1,331.48 : x
  2. Step 2: Convert to fraction form
    1,589.81/2,371.49 = 1,331.48/x
  3. Step 3: Cross multiply
    1,589.81x = 2,371.49 × 1,331.48
  4. Step 4: Simplify right side
    1,589.81x = 3,157,572.99
  5. Step 5: Solve for x
    x = 3,157,572.99/1,589.81
  6. Step 6: Final answer
    x = 1,986.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.