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Finding the Fourth Proportional to 2,284.81, 3,426.71 and 641.52

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Solution

The fourth proportional to 2,284.81, 3,426.71 and 641.52 is: 962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.81 : 3,426.71 = 641.52 : x
  2. Step 2: Convert to fraction form
    2,284.81/3,426.71 = 641.52/x
  3. Step 3: Cross multiply
    2,284.81x = 3,426.71 × 641.52
  4. Step 4: Simplify right side
    2,284.81x = 2,198,315.05
  5. Step 5: Solve for x
    x = 2,198,315.05/2,284.81
  6. Step 6: Final answer
    x = 962.14

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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.