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Finding the Fourth Proportional to 1,593.81, 2,199.76 and 1,003.93

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Solution

The fourth proportional to 1,593.81, 2,199.76 and 1,003.93 is: 1,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.81 : 2,199.76 = 1,003.93 : x
  2. Step 2: Convert to fraction form
    1,593.81/2,199.76 = 1,003.93/x
  3. Step 3: Cross multiply
    1,593.81x = 2,199.76 × 1,003.93
  4. Step 4: Simplify right side
    1,593.81x = 2,208,397.05
  5. Step 5: Solve for x
    x = 2,208,397.05/1,593.81
  6. Step 6: Final answer
    x = 1,385.61

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Why These Related Problems?

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