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Finding the Fourth Proportional to 1,347.66, 2,020.14 and 1,161.81

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Solution

The fourth proportional to 1,347.66, 2,020.14 and 1,161.81 is: 1,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.66 : 2,020.14 = 1,161.81 : x
  2. Step 2: Convert to fraction form
    1,347.66/2,020.14 = 1,161.81/x
  3. Step 3: Cross multiply
    1,347.66x = 2,020.14 × 1,161.81
  4. Step 4: Simplify right side
    1,347.66x = 2,347,018.85
  5. Step 5: Solve for x
    x = 2,347,018.85/1,347.66
  6. Step 6: Final answer
    x = 1,741.55

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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.