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Finding the Fourth Proportional to 3,097.12, 4,643.20 and 1,452

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Solution

The fourth proportional to 3,097.12, 4,643.20 and 1,452 is: 2,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.12 : 4,643.20 = 1,452 : x
  2. Step 2: Convert to fraction form
    3,097.12/4,643.20 = 1,452/x
  3. Step 3: Cross multiply
    3,097.12x = 4,643.20 × 1,452
  4. Step 4: Simplify right side
    3,097.12x = 6,741,926.40
  5. Step 5: Solve for x
    x = 6,741,926.40/3,097.12
  6. Step 6: Final answer
    x = 2,176.84

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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.