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Finding the Fourth Proportional to 1,219.48, 1,683.76 and 1,101.22

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Solution

The fourth proportional to 1,219.48, 1,683.76 and 1,101.22 is: 1,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.48 : 1,683.76 = 1,101.22 : x
  2. Step 2: Convert to fraction form
    1,219.48/1,683.76 = 1,101.22/x
  3. Step 3: Cross multiply
    1,219.48x = 1,683.76 × 1,101.22
  4. Step 4: Simplify right side
    1,219.48x = 1,854,190.19
  5. Step 5: Solve for x
    x = 1,854,190.19/1,219.48
  6. Step 6: Final answer
    x = 1,520.48

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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.