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Finding the Fourth Proportional to 3,100.51, 4,278.66 and 1,684.15

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Solution

The fourth proportional to 3,100.51, 4,278.66 and 1,684.15 is: 2,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.51 : 4,278.66 = 1,684.15 : x
  2. Step 2: Convert to fraction form
    3,100.51/4,278.66 = 1,684.15/x
  3. Step 3: Cross multiply
    3,100.51x = 4,278.66 × 1,684.15
  4. Step 4: Simplify right side
    3,100.51x = 7,205,905.24
  5. Step 5: Solve for x
    x = 7,205,905.24/3,100.51
  6. Step 6: Final answer
    x = 2,324.10

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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.