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Finding the Fourth Proportional to 1,981.28, 2,969.04 and 1,111.16

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Solution

The fourth proportional to 1,981.28, 2,969.04 and 1,111.16 is: 1,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.28 : 2,969.04 = 1,111.16 : x
  2. Step 2: Convert to fraction form
    1,981.28/2,969.04 = 1,111.16/x
  3. Step 3: Cross multiply
    1,981.28x = 2,969.04 × 1,111.16
  4. Step 4: Simplify right side
    1,981.28x = 3,299,078.49
  5. Step 5: Solve for x
    x = 3,299,078.49/1,981.28
  6. Step 6: Final answer
    x = 1,665.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.