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Finding the Fourth Proportional to 2,762.02, 4,143.04 and 2,274.05

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Solution

The fourth proportional to 2,762.02, 4,143.04 and 2,274.05 is: 3,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.02 : 4,143.04 = 2,274.05 : x
  2. Step 2: Convert to fraction form
    2,762.02/4,143.04 = 2,274.05/x
  3. Step 3: Cross multiply
    2,762.02x = 4,143.04 × 2,274.05
  4. Step 4: Simplify right side
    2,762.02x = 9,421,469.93
  5. Step 5: Solve for x
    x = 9,421,469.93/2,762.02
  6. Step 6: Final answer
    x = 3,411.07

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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.