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Finding the Fourth Proportional to 2,332.11, 3,494.64 and 1,406.64

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Solution

The fourth proportional to 2,332.11, 3,494.64 and 1,406.64 is: 2,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.11 : 3,494.64 = 1,406.64 : x
  2. Step 2: Convert to fraction form
    2,332.11/3,494.64 = 1,406.64/x
  3. Step 3: Cross multiply
    2,332.11x = 3,494.64 × 1,406.64
  4. Step 4: Simplify right side
    2,332.11x = 4,915,700.41
  5. Step 5: Solve for x
    x = 4,915,700.41/2,332.11
  6. Step 6: Final answer
    x = 2,107.83

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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.