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Finding the Fourth Proportional to 2,097.82, 3,146.71 and 558.82

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Solution

The fourth proportional to 2,097.82, 3,146.71 and 558.82 is: 838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.82 : 3,146.71 = 558.82 : x
  2. Step 2: Convert to fraction form
    2,097.82/3,146.71 = 558.82/x
  3. Step 3: Cross multiply
    2,097.82x = 3,146.71 × 558.82
  4. Step 4: Simplify right side
    2,097.82x = 1,758,444.48
  5. Step 5: Solve for x
    x = 1,758,444.48/2,097.82
  6. Step 6: Final answer
    x = 838.22

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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.