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Finding the Fourth Proportional to 2,932.92, 4,394.50 and 2,065.41

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Solution

The fourth proportional to 2,932.92, 4,394.50 and 2,065.41 is: 3,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.92 : 4,394.50 = 2,065.41 : x
  2. Step 2: Convert to fraction form
    2,932.92/4,394.50 = 2,065.41/x
  3. Step 3: Cross multiply
    2,932.92x = 4,394.50 × 2,065.41
  4. Step 4: Simplify right side
    2,932.92x = 9,076,444.25
  5. Step 5: Solve for x
    x = 9,076,444.25/2,932.92
  6. Step 6: Final answer
    x = 3,094.68

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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.