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Finding the Fourth Proportional to 2,264.30, 3,116.02 and 2,200.06

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Solution

The fourth proportional to 2,264.30, 3,116.02 and 2,200.06 is: 3,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.30 : 3,116.02 = 2,200.06 : x
  2. Step 2: Convert to fraction form
    2,264.30/3,116.02 = 2,200.06/x
  3. Step 3: Cross multiply
    2,264.30x = 3,116.02 × 2,200.06
  4. Step 4: Simplify right side
    2,264.30x = 6,855,433.48
  5. Step 5: Solve for x
    x = 6,855,433.48/2,264.30
  6. Step 6: Final answer
    x = 3,027.61

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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.