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Finding the Fourth Proportional to 1,593.72, 2,197.76 and 1,062.47

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Solution

The fourth proportional to 1,593.72, 2,197.76 and 1,062.47 is: 1,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.72 : 2,197.76 = 1,062.47 : x
  2. Step 2: Convert to fraction form
    1,593.72/2,197.76 = 1,062.47/x
  3. Step 3: Cross multiply
    1,593.72x = 2,197.76 × 1,062.47
  4. Step 4: Simplify right side
    1,593.72x = 2,335,054.25
  5. Step 5: Solve for x
    x = 2,335,054.25/1,593.72
  6. Step 6: Final answer
    x = 1,465.16

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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.