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Finding the Fourth Proportional to 2,099.71, 2,894.49 and 1,343.41

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Solution

The fourth proportional to 2,099.71, 2,894.49 and 1,343.41 is: 1,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.71 : 2,894.49 = 1,343.41 : x
  2. Step 2: Convert to fraction form
    2,099.71/2,894.49 = 1,343.41/x
  3. Step 3: Cross multiply
    2,099.71x = 2,894.49 × 1,343.41
  4. Step 4: Simplify right side
    2,099.71x = 3,888,490.04
  5. Step 5: Solve for x
    x = 3,888,490.04/2,099.71
  6. Step 6: Final answer
    x = 1,851.92

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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.