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Finding the Fourth Proportional to 2,113.36, 3,155.21 and 1,906

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Solution

The fourth proportional to 2,113.36, 3,155.21 and 1,906 is: 2,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.36 : 3,155.21 = 1,906 : x
  2. Step 2: Convert to fraction form
    2,113.36/3,155.21 = 1,906/x
  3. Step 3: Cross multiply
    2,113.36x = 3,155.21 × 1,906
  4. Step 4: Simplify right side
    2,113.36x = 6,013,830.26
  5. Step 5: Solve for x
    x = 6,013,830.26/2,113.36
  6. Step 6: Final answer
    x = 2,845.63

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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.