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Finding the Fourth Proportional to 2,761.01, 3,812.03 and 2,130.42

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Solution

The fourth proportional to 2,761.01, 3,812.03 and 2,130.42 is: 2,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.01 : 3,812.03 = 2,130.42 : x
  2. Step 2: Convert to fraction form
    2,761.01/3,812.03 = 2,130.42/x
  3. Step 3: Cross multiply
    2,761.01x = 3,812.03 × 2,130.42
  4. Step 4: Simplify right side
    2,761.01x = 8,121,224.95
  5. Step 5: Solve for x
    x = 8,121,224.95/2,761.01
  6. Step 6: Final answer
    x = 2,941.40

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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.