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Finding the Fourth Proportional to 1,562.22, 2,151.22 and 1,119.36

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Solution

The fourth proportional to 1,562.22, 2,151.22 and 1,119.36 is: 1,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.22 : 2,151.22 = 1,119.36 : x
  2. Step 2: Convert to fraction form
    1,562.22/2,151.22 = 1,119.36/x
  3. Step 3: Cross multiply
    1,562.22x = 2,151.22 × 1,119.36
  4. Step 4: Simplify right side
    1,562.22x = 2,407,989.62
  5. Step 5: Solve for x
    x = 2,407,989.62/1,562.22
  6. Step 6: Final answer
    x = 1,541.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.