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Finding the Fourth Proportional to 3,097.72, 4,646.58 and 2,177.39

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Solution

The fourth proportional to 3,097.72, 4,646.58 and 2,177.39 is: 3,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.72 : 4,646.58 = 2,177.39 : x
  2. Step 2: Convert to fraction form
    3,097.72/4,646.58 = 2,177.39/x
  3. Step 3: Cross multiply
    3,097.72x = 4,646.58 × 2,177.39
  4. Step 4: Simplify right side
    3,097.72x = 10,117,419.46
  5. Step 5: Solve for x
    x = 10,117,419.46/3,097.72
  6. Step 6: Final answer
    x = 3,266.09

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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.