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Finding the Fourth Proportional to 2,284.04, 3,426.06 and 640.61

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Solution

The fourth proportional to 2,284.04, 3,426.06 and 640.61 is: 960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.04 : 3,426.06 = 640.61 : x
  2. Step 2: Convert to fraction form
    2,284.04/3,426.06 = 640.61/x
  3. Step 3: Cross multiply
    2,284.04x = 3,426.06 × 640.61
  4. Step 4: Simplify right side
    2,284.04x = 2,194,751.17
  5. Step 5: Solve for x
    x = 2,194,751.17/2,284.04
  6. Step 6: Final answer
    x = 960.91

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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.