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Finding the Fourth Proportional to 1,162.37, 1,593.67 and 1,141.58

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Solution

The fourth proportional to 1,162.37, 1,593.67 and 1,141.58 is: 1,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.37 : 1,593.67 = 1,141.58 : x
  2. Step 2: Convert to fraction form
    1,162.37/1,593.67 = 1,141.58/x
  3. Step 3: Cross multiply
    1,162.37x = 1,593.67 × 1,141.58
  4. Step 4: Simplify right side
    1,162.37x = 1,819,301.80
  5. Step 5: Solve for x
    x = 1,819,301.80/1,162.37
  6. Step 6: Final answer
    x = 1,565.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.