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Finding the Fourth Proportional to 1,496.77, 2,242.45 and 1,166.56

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Solution

The fourth proportional to 1,496.77, 2,242.45 and 1,166.56 is: 1,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.77 : 2,242.45 = 1,166.56 : x
  2. Step 2: Convert to fraction form
    1,496.77/2,242.45 = 1,166.56/x
  3. Step 3: Cross multiply
    1,496.77x = 2,242.45 × 1,166.56
  4. Step 4: Simplify right side
    1,496.77x = 2,615,952.47
  5. Step 5: Solve for x
    x = 2,615,952.47/1,496.77
  6. Step 6: Final answer
    x = 1,747.73

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