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Finding the Fourth Proportional to 1,963.76, 2,711.16 and 1,833.20

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Solution

The fourth proportional to 1,963.76, 2,711.16 and 1,833.20 is: 2,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.76 : 2,711.16 = 1,833.20 : x
  2. Step 2: Convert to fraction form
    1,963.76/2,711.16 = 1,833.20/x
  3. Step 3: Cross multiply
    1,963.76x = 2,711.16 × 1,833.20
  4. Step 4: Simplify right side
    1,963.76x = 4,970,098.51
  5. Step 5: Solve for x
    x = 4,970,098.51/1,963.76
  6. Step 6: Final answer
    x = 2,530.91

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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.