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Finding the Fourth Proportional to 2,757.18, 3,803.02 and 1,762.02

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Solution

The fourth proportional to 2,757.18, 3,803.02 and 1,762.02 is: 2,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.18 : 3,803.02 = 1,762.02 : x
  2. Step 2: Convert to fraction form
    2,757.18/3,803.02 = 1,762.02/x
  3. Step 3: Cross multiply
    2,757.18x = 3,803.02 × 1,762.02
  4. Step 4: Simplify right side
    2,757.18x = 6,700,997.30
  5. Step 5: Solve for x
    x = 6,700,997.30/2,757.18
  6. Step 6: Final answer
    x = 2,430.38

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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.