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Finding the Fourth Proportional to 1,984.13, 2,738.25 and 1,100.01

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Solution

The fourth proportional to 1,984.13, 2,738.25 and 1,100.01 is: 1,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.13 : 2,738.25 = 1,100.01 : x
  2. Step 2: Convert to fraction form
    1,984.13/2,738.25 = 1,100.01/x
  3. Step 3: Cross multiply
    1,984.13x = 2,738.25 × 1,100.01
  4. Step 4: Simplify right side
    1,984.13x = 3,012,102.38
  5. Step 5: Solve for x
    x = 3,012,102.38/1,984.13
  6. Step 6: Final answer
    x = 1,518.10

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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.