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Finding the Fourth Proportional to 1,462.92, 2,193.76 and 538.51

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Solution

The fourth proportional to 1,462.92, 2,193.76 and 538.51 is: 807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.92 : 2,193.76 = 538.51 : x
  2. Step 2: Convert to fraction form
    1,462.92/2,193.76 = 538.51/x
  3. Step 3: Cross multiply
    1,462.92x = 2,193.76 × 538.51
  4. Step 4: Simplify right side
    1,462.92x = 1,181,361.70
  5. Step 5: Solve for x
    x = 1,181,361.70/1,462.92
  6. Step 6: Final answer
    x = 807.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.