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Finding the Fourth Proportional to 2,224.02, 3,336 and 580.62

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Solution

The fourth proportional to 2,224.02, 3,336 and 580.62 is: 870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.02 : 3,336 = 580.62 : x
  2. Step 2: Convert to fraction form
    2,224.02/3,336 = 580.62/x
  3. Step 3: Cross multiply
    2,224.02x = 3,336 × 580.62
  4. Step 4: Simplify right side
    2,224.02x = 1,936,948.32
  5. Step 5: Solve for x
    x = 1,936,948.32/2,224.02
  6. Step 6: Final answer
    x = 870.92

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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.