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Finding the Fourth Proportional to 2,151.84, 2,969.91 and 1,220.34

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Solution

The fourth proportional to 2,151.84, 2,969.91 and 1,220.34 is: 1,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.84 : 2,969.91 = 1,220.34 : x
  2. Step 2: Convert to fraction form
    2,151.84/2,969.91 = 1,220.34/x
  3. Step 3: Cross multiply
    2,151.84x = 2,969.91 × 1,220.34
  4. Step 4: Simplify right side
    2,151.84x = 3,624,299.97
  5. Step 5: Solve for x
    x = 3,624,299.97/2,151.84
  6. Step 6: Final answer
    x = 1,684.28

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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.