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Finding the Fourth Proportional to 3,046.79, 4,570.20 and 1,097.60

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Solution

The fourth proportional to 3,046.79, 4,570.20 and 1,097.60 is: 1,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.79 : 4,570.20 = 1,097.60 : x
  2. Step 2: Convert to fraction form
    3,046.79/4,570.20 = 1,097.60/x
  3. Step 3: Cross multiply
    3,046.79x = 4,570.20 × 1,097.60
  4. Step 4: Simplify right side
    3,046.79x = 5,016,251.52
  5. Step 5: Solve for x
    x = 5,016,251.52/3,046.79
  6. Step 6: Final answer
    x = 1,646.41

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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.