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Finding the Fourth Proportional to 2,697.50, 4,044.26 and 1,820.18

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Solution

The fourth proportional to 2,697.50, 4,044.26 and 1,820.18 is: 2,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.50 : 4,044.26 = 1,820.18 : x
  2. Step 2: Convert to fraction form
    2,697.50/4,044.26 = 1,820.18/x
  3. Step 3: Cross multiply
    2,697.50x = 4,044.26 × 1,820.18
  4. Step 4: Simplify right side
    2,697.50x = 7,361,281.17
  5. Step 5: Solve for x
    x = 7,361,281.17/2,697.50
  6. Step 6: Final answer
    x = 2,728.93

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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.