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Finding the Fourth Proportional to 2,274.49, 3,140.90 and 2,151.73

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Solution

The fourth proportional to 2,274.49, 3,140.90 and 2,151.73 is: 2,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.49 : 3,140.90 = 2,151.73 : x
  2. Step 2: Convert to fraction form
    2,274.49/3,140.90 = 2,151.73/x
  3. Step 3: Cross multiply
    2,274.49x = 3,140.90 × 2,151.73
  4. Step 4: Simplify right side
    2,274.49x = 6,758,368.76
  5. Step 5: Solve for x
    x = 6,758,368.76/2,274.49
  6. Step 6: Final answer
    x = 2,971.38

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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.