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Finding the Fourth Proportional to 1,221.17, 1,685.90 and 1,147.06

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Solution

The fourth proportional to 1,221.17, 1,685.90 and 1,147.06 is: 1,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.17 : 1,685.90 = 1,147.06 : x
  2. Step 2: Convert to fraction form
    1,221.17/1,685.90 = 1,147.06/x
  3. Step 3: Cross multiply
    1,221.17x = 1,685.90 × 1,147.06
  4. Step 4: Simplify right side
    1,221.17x = 1,933,814.29
  5. Step 5: Solve for x
    x = 1,933,814.29/1,221.17
  6. Step 6: Final answer
    x = 1,583.58

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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.