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Finding the Fourth Proportional to 2,795.71, 3,858.17 and 1,536.81

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Solution

The fourth proportional to 2,795.71, 3,858.17 and 1,536.81 is: 2,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.71 : 3,858.17 = 1,536.81 : x
  2. Step 2: Convert to fraction form
    2,795.71/3,858.17 = 1,536.81/x
  3. Step 3: Cross multiply
    2,795.71x = 3,858.17 × 1,536.81
  4. Step 4: Simplify right side
    2,795.71x = 5,929,274.24
  5. Step 5: Solve for x
    x = 5,929,274.24/2,795.71
  6. Step 6: Final answer
    x = 2,120.85

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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.