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Finding the Fourth Proportional to 1,916.49, 2,857.96 and 1,898.97

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Solution

The fourth proportional to 1,916.49, 2,857.96 and 1,898.97 is: 2,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.49 : 2,857.96 = 1,898.97 : x
  2. Step 2: Convert to fraction form
    1,916.49/2,857.96 = 1,898.97/x
  3. Step 3: Cross multiply
    1,916.49x = 2,857.96 × 1,898.97
  4. Step 4: Simplify right side
    1,916.49x = 5,427,175.55
  5. Step 5: Solve for x
    x = 5,427,175.55/1,916.49
  6. Step 6: Final answer
    x = 2,831.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.