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Finding the Fourth Proportional to 1,536.76, 2,120.12 and 864.41

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Solution

The fourth proportional to 1,536.76, 2,120.12 and 864.41 is: 1,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.76 : 2,120.12 = 864.41 : x
  2. Step 2: Convert to fraction form
    1,536.76/2,120.12 = 864.41/x
  3. Step 3: Cross multiply
    1,536.76x = 2,120.12 × 864.41
  4. Step 4: Simplify right side
    1,536.76x = 1,832,652.93
  5. Step 5: Solve for x
    x = 1,832,652.93/1,536.76
  6. Step 6: Final answer
    x = 1,192.55

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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.