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Finding the Fourth Proportional to 1,642, 2,462.28 and 654.52

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Solution

The fourth proportional to 1,642, 2,462.28 and 654.52 is: 981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642 : 2,462.28 = 654.52 : x
  2. Step 2: Convert to fraction form
    1,642/2,462.28 = 654.52/x
  3. Step 3: Cross multiply
    1,642x = 2,462.28 × 654.52
  4. Step 4: Simplify right side
    1,642x = 1,611,611.51
  5. Step 5: Solve for x
    x = 1,611,611.51/1,642
  6. Step 6: Final answer
    x = 981.49

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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.