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Finding the Fourth Proportional to 2,712.51, 3,743.40 and 1,593.51

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Solution

The fourth proportional to 2,712.51, 3,743.40 and 1,593.51 is: 2,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.51 : 3,743.40 = 1,593.51 : x
  2. Step 2: Convert to fraction form
    2,712.51/3,743.40 = 1,593.51/x
  3. Step 3: Cross multiply
    2,712.51x = 3,743.40 × 1,593.51
  4. Step 4: Simplify right side
    2,712.51x = 5,965,145.33
  5. Step 5: Solve for x
    x = 5,965,145.33/2,712.51
  6. Step 6: Final answer
    x = 2,199.12

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1.5x scale

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.