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Finding the Fourth Proportional to 2,816.58, 4,224.84 and 2,746.86

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Solution

The fourth proportional to 2,816.58, 4,224.84 and 2,746.86 is: 4,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.58 : 4,224.84 = 2,746.86 : x
  2. Step 2: Convert to fraction form
    2,816.58/4,224.84 = 2,746.86/x
  3. Step 3: Cross multiply
    2,816.58x = 4,224.84 × 2,746.86
  4. Step 4: Simplify right side
    2,816.58x = 11,605,044.00
  5. Step 5: Solve for x
    x = 11,605,044.00/2,816.58
  6. Step 6: Final answer
    x = 4,120.26

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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.