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Finding the Fourth Proportional to 1,932.01, 2,894.37 and 1,497.04

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Solution

The fourth proportional to 1,932.01, 2,894.37 and 1,497.04 is: 2,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.01 : 2,894.37 = 1,497.04 : x
  2. Step 2: Convert to fraction form
    1,932.01/2,894.37 = 1,497.04/x
  3. Step 3: Cross multiply
    1,932.01x = 2,894.37 × 1,497.04
  4. Step 4: Simplify right side
    1,932.01x = 4,332,987.66
  5. Step 5: Solve for x
    x = 4,332,987.66/1,932.01
  6. Step 6: Final answer
    x = 2,242.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.