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Finding the Fourth Proportional to 1,642.14, 2,462.63 and 654.48

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Solution

The fourth proportional to 1,642.14, 2,462.63 and 654.48 is: 981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.14 : 2,462.63 = 654.48 : x
  2. Step 2: Convert to fraction form
    1,642.14/2,462.63 = 654.48/x
  3. Step 3: Cross multiply
    1,642.14x = 2,462.63 × 654.48
  4. Step 4: Simplify right side
    1,642.14x = 1,611,738.81
  5. Step 5: Solve for x
    x = 1,611,738.81/1,642.14
  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.