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Finding the Fourth Proportional to 2,097.72, 3,146.58 and 636.84

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Solution

The fourth proportional to 2,097.72, 3,146.58 and 636.84 is: 955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.72 : 3,146.58 = 636.84 : x
  2. Step 2: Convert to fraction form
    2,097.72/3,146.58 = 636.84/x
  3. Step 3: Cross multiply
    2,097.72x = 3,146.58 × 636.84
  4. Step 4: Simplify right side
    2,097.72x = 2,003,868.01
  5. Step 5: Solve for x
    x = 2,003,868.01/2,097.72
  6. Step 6: Final answer
    x = 955.26

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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.