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Finding the Fourth Proportional to 1,642.68, 2,266.79 and 1,202.45

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Solution

The fourth proportional to 1,642.68, 2,266.79 and 1,202.45 is: 1,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.68 : 2,266.79 = 1,202.45 : x
  2. Step 2: Convert to fraction form
    1,642.68/2,266.79 = 1,202.45/x
  3. Step 3: Cross multiply
    1,642.68x = 2,266.79 × 1,202.45
  4. Step 4: Simplify right side
    1,642.68x = 2,725,684.29
  5. Step 5: Solve for x
    x = 2,725,684.29/1,642.68
  6. Step 6: Final answer
    x = 1,659.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.