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Finding the Fourth Proportional to 3,097.85, 4,640.49 and 1,533.13

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Solution

The fourth proportional to 3,097.85, 4,640.49 and 1,533.13 is: 2,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.85 : 4,640.49 = 1,533.13 : x
  2. Step 2: Convert to fraction form
    3,097.85/4,640.49 = 1,533.13/x
  3. Step 3: Cross multiply
    3,097.85x = 4,640.49 × 1,533.13
  4. Step 4: Simplify right side
    3,097.85x = 7,114,462.83
  5. Step 5: Solve for x
    x = 7,114,462.83/3,097.85
  6. Step 6: Final answer
    x = 2,296.58

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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.