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Finding the Fourth Proportional to 2,863.35, 3,951.63 and 1,652.40

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Solution

The fourth proportional to 2,863.35, 3,951.63 and 1,652.40 is: 2,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.35 : 3,951.63 = 1,652.40 : x
  2. Step 2: Convert to fraction form
    2,863.35/3,951.63 = 1,652.40/x
  3. Step 3: Cross multiply
    2,863.35x = 3,951.63 × 1,652.40
  4. Step 4: Simplify right side
    2,863.35x = 6,529,673.41
  5. Step 5: Solve for x
    x = 6,529,673.41/2,863.35
  6. Step 6: Final answer
    x = 2,280.43

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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.