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Finding the Fourth Proportional to 1,974.76, 2,725.02 and 1,135.42

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Solution

The fourth proportional to 1,974.76, 2,725.02 and 1,135.42 is: 1,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.76 : 2,725.02 = 1,135.42 : x
  2. Step 2: Convert to fraction form
    1,974.76/2,725.02 = 1,135.42/x
  3. Step 3: Cross multiply
    1,974.76x = 2,725.02 × 1,135.42
  4. Step 4: Simplify right side
    1,974.76x = 3,094,042.21
  5. Step 5: Solve for x
    x = 3,094,042.21/1,974.76
  6. Step 6: Final answer
    x = 1,566.79

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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.