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Finding the Fourth Proportional to 2,008.95, 2,772.25 and 1,112.64

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Solution

The fourth proportional to 2,008.95, 2,772.25 and 1,112.64 is: 1,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.95 : 2,772.25 = 1,112.64 : x
  2. Step 2: Convert to fraction form
    2,008.95/2,772.25 = 1,112.64/x
  3. Step 3: Cross multiply
    2,008.95x = 2,772.25 × 1,112.64
  4. Step 4: Simplify right side
    2,008.95x = 3,084,516.24
  5. Step 5: Solve for x
    x = 3,084,516.24/2,008.95
  6. Step 6: Final answer
    x = 1,535.39

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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.