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Finding the Fourth Proportional to 2,221.71, 3,331.76 and 923.28

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Solution

The fourth proportional to 2,221.71, 3,331.76 and 923.28 is: 1,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.71 : 3,331.76 = 923.28 : x
  2. Step 2: Convert to fraction form
    2,221.71/3,331.76 = 923.28/x
  3. Step 3: Cross multiply
    2,221.71x = 3,331.76 × 923.28
  4. Step 4: Simplify right side
    2,221.71x = 3,076,142.76
  5. Step 5: Solve for x
    x = 3,076,142.76/2,221.71
  6. Step 6: Final answer
    x = 1,384.58

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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.