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Finding the Fourth Proportional to 2,097.72, 3,146.97 and 637.02

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Solution

The fourth proportional to 2,097.72, 3,146.97 and 637.02 is: 955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.72 : 3,146.97 = 637.02 : x
  2. Step 2: Convert to fraction form
    2,097.72/3,146.97 = 637.02/x
  3. Step 3: Cross multiply
    2,097.72x = 3,146.97 × 637.02
  4. Step 4: Simplify right side
    2,097.72x = 2,004,682.83
  5. Step 5: Solve for x
    x = 2,004,682.83/2,097.72
  6. Step 6: Final answer
    x = 955.65

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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.