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Finding the Fourth Proportional to 2,047.22, 3,070.56 and 1,122.56

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Solution

The fourth proportional to 2,047.22, 3,070.56 and 1,122.56 is: 1,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.22 : 3,070.56 = 1,122.56 : x
  2. Step 2: Convert to fraction form
    2,047.22/3,070.56 = 1,122.56/x
  3. Step 3: Cross multiply
    2,047.22x = 3,070.56 × 1,122.56
  4. Step 4: Simplify right side
    2,047.22x = 3,446,887.83
  5. Step 5: Solve for x
    x = 3,446,887.83/2,047.22
  6. Step 6: Final answer
    x = 1,683.69

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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.