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Finding the Fourth Proportional to 2,008.84, 2,772.10 and 1,100.33

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Solution

The fourth proportional to 2,008.84, 2,772.10 and 1,100.33 is: 1,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.84 : 2,772.10 = 1,100.33 : x
  2. Step 2: Convert to fraction form
    2,008.84/2,772.10 = 1,100.33/x
  3. Step 3: Cross multiply
    2,008.84x = 2,772.10 × 1,100.33
  4. Step 4: Simplify right side
    2,008.84x = 3,050,224.79
  5. Step 5: Solve for x
    x = 3,050,224.79/2,008.84
  6. Step 6: Final answer
    x = 1,518.40

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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.