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Finding the Fourth Proportional to 2,711.51, 3,742.02 and 1,592.51

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Solution

The fourth proportional to 2,711.51, 3,742.02 and 1,592.51 is: 2,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.51 : 3,742.02 = 1,592.51 : x
  2. Step 2: Convert to fraction form
    2,711.51/3,742.02 = 1,592.51/x
  3. Step 3: Cross multiply
    2,711.51x = 3,742.02 × 1,592.51
  4. Step 4: Simplify right side
    2,711.51x = 5,959,204.27
  5. Step 5: Solve for x
    x = 5,959,204.27/2,711.51
  6. Step 6: Final answer
    x = 2,197.74

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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.