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Finding the Fourth Proportional to 2,235.57, 3,086.57 and 1,397.45

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Solution

The fourth proportional to 2,235.57, 3,086.57 and 1,397.45 is: 1,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.57 : 3,086.57 = 1,397.45 : x
  2. Step 2: Convert to fraction form
    2,235.57/3,086.57 = 1,397.45/x
  3. Step 3: Cross multiply
    2,235.57x = 3,086.57 × 1,397.45
  4. Step 4: Simplify right side
    2,235.57x = 4,313,338.46
  5. Step 5: Solve for x
    x = 4,313,338.46/2,235.57
  6. Step 6: Final answer
    x = 1,929.42

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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.