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Finding the Fourth Proportional to 3,107.52, 4,661.55 and 1,646.64

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Solution

The fourth proportional to 3,107.52, 4,661.55 and 1,646.64 is: 2,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.52 : 4,661.55 = 1,646.64 : x
  2. Step 2: Convert to fraction form
    3,107.52/4,661.55 = 1,646.64/x
  3. Step 3: Cross multiply
    3,107.52x = 4,661.55 × 1,646.64
  4. Step 4: Simplify right side
    3,107.52x = 7,675,894.69
  5. Step 5: Solve for x
    x = 7,675,894.69/3,107.52
  6. Step 6: Final answer
    x = 2,470.10

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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.