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Finding the Fourth Proportional to 2,222.47, 3,334.01 and 816.70

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Solution

The fourth proportional to 2,222.47, 3,334.01 and 816.70 is: 1,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.47 : 3,334.01 = 816.70 : x
  2. Step 2: Convert to fraction form
    2,222.47/3,334.01 = 816.70/x
  3. Step 3: Cross multiply
    2,222.47x = 3,334.01 × 816.70
  4. Step 4: Simplify right side
    2,222.47x = 2,722,873.55
  5. Step 5: Solve for x
    x = 2,722,873.55/2,222.47
  6. Step 6: Final answer
    x = 1,225.16

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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.