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Finding the Fourth Proportional to 2,097.98, 3,146.34 and 636.74

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Solution

The fourth proportional to 2,097.98, 3,146.34 and 636.74 is: 954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.98 : 3,146.34 = 636.74 : x
  2. Step 2: Convert to fraction form
    2,097.98/3,146.34 = 636.74/x
  3. Step 3: Cross multiply
    2,097.98x = 3,146.34 × 636.74
  4. Step 4: Simplify right side
    2,097.98x = 2,003,400.53
  5. Step 5: Solve for x
    x = 2,003,400.53/2,097.98
  6. Step 6: Final answer
    x = 954.92

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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.