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Finding the Fourth Proportional to 1,932, 2,667.32 and 1,270

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Solution

The fourth proportional to 1,932, 2,667.32 and 1,270 is: 1,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932 : 2,667.32 = 1,270 : x
  2. Step 2: Convert to fraction form
    1,932/2,667.32 = 1,270/x
  3. Step 3: Cross multiply
    1,932x = 2,667.32 × 1,270
  4. Step 4: Simplify right side
    1,932x = 3,387,496.40
  5. Step 5: Solve for x
    x = 3,387,496.40/1,932
  6. Step 6: Final answer
    x = 1,753.36

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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.