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Finding the Fourth Proportional to 3,097.38, 4,646.06 and 1,453.02

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Solution

The fourth proportional to 3,097.38, 4,646.06 and 1,453.02 is: 2,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.38 : 4,646.06 = 1,453.02 : x
  2. Step 2: Convert to fraction form
    3,097.38/4,646.06 = 1,453.02/x
  3. Step 3: Cross multiply
    3,097.38x = 4,646.06 × 1,453.02
  4. Step 4: Simplify right side
    3,097.38x = 6,750,818.10
  5. Step 5: Solve for x
    x = 6,750,818.10/3,097.38
  6. Step 6: Final answer
    x = 2,179.53

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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.