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Finding the Fourth Proportional to 2,332.64, 3,219 and 1,284.68

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Solution

The fourth proportional to 2,332.64, 3,219 and 1,284.68 is: 1,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.64 : 3,219 = 1,284.68 : x
  2. Step 2: Convert to fraction form
    2,332.64/3,219 = 1,284.68/x
  3. Step 3: Cross multiply
    2,332.64x = 3,219 × 1,284.68
  4. Step 4: Simplify right side
    2,332.64x = 4,135,384.92
  5. Step 5: Solve for x
    x = 4,135,384.92/2,332.64
  6. Step 6: Final answer
    x = 1,772.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.