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Finding the Fourth Proportional to 3,097.74, 4,647.96 and 1,454.14

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Solution

The fourth proportional to 3,097.74, 4,647.96 and 1,454.14 is: 2,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.74 : 4,647.96 = 1,454.14 : x
  2. Step 2: Convert to fraction form
    3,097.74/4,647.96 = 1,454.14/x
  3. Step 3: Cross multiply
    3,097.74x = 4,647.96 × 1,454.14
  4. Step 4: Simplify right side
    3,097.74x = 6,758,784.55
  5. Step 5: Solve for x
    x = 6,758,784.55/3,097.74
  6. Step 6: Final answer
    x = 2,181.84

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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.