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Finding the Fourth Proportional to 1,202.82, 1,658.70 and 1,101.66

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Solution

The fourth proportional to 1,202.82, 1,658.70 and 1,101.66 is: 1,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.82 : 1,658.70 = 1,101.66 : x
  2. Step 2: Convert to fraction form
    1,202.82/1,658.70 = 1,101.66/x
  3. Step 3: Cross multiply
    1,202.82x = 1,658.70 × 1,101.66
  4. Step 4: Simplify right side
    1,202.82x = 1,827,323.44
  5. Step 5: Solve for x
    x = 1,827,323.44/1,202.82
  6. Step 6: Final answer
    x = 1,519.20

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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.