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Finding the Fourth Proportional to 3,107.02, 4,660.80 and 1,646.14

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Solution

The fourth proportional to 3,107.02, 4,660.80 and 1,646.14 is: 2,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.02 : 4,660.80 = 1,646.14 : x
  2. Step 2: Convert to fraction form
    3,107.02/4,660.80 = 1,646.14/x
  3. Step 3: Cross multiply
    3,107.02x = 4,660.80 × 1,646.14
  4. Step 4: Simplify right side
    3,107.02x = 7,672,329.31
  5. Step 5: Solve for x
    x = 7,672,329.31/3,107.02
  6. Step 6: Final answer
    x = 2,469.35

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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.