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Finding the Fourth Proportional to 1,597.68, 2,390.36 and 1,593.59

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Solution

The fourth proportional to 1,597.68, 2,390.36 and 1,593.59 is: 2,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.68 : 2,390.36 = 1,593.59 : x
  2. Step 2: Convert to fraction form
    1,597.68/2,390.36 = 1,593.59/x
  3. Step 3: Cross multiply
    1,597.68x = 2,390.36 × 1,593.59
  4. Step 4: Simplify right side
    1,597.68x = 3,809,233.87
  5. Step 5: Solve for x
    x = 3,809,233.87/1,597.68
  6. Step 6: Final answer
    x = 2,384.23

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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.