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Finding the Fourth Proportional to 2,807.32, 3,874.46 and 2,334.40

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Solution

The fourth proportional to 2,807.32, 3,874.46 and 2,334.40 is: 3,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.32 : 3,874.46 = 2,334.40 : x
  2. Step 2: Convert to fraction form
    2,807.32/3,874.46 = 2,334.40/x
  3. Step 3: Cross multiply
    2,807.32x = 3,874.46 × 2,334.40
  4. Step 4: Simplify right side
    2,807.32x = 9,044,541.35
  5. Step 5: Solve for x
    x = 9,044,541.35/2,807.32
  6. Step 6: Final answer
    x = 3,221.77

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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.