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Finding the Fourth Proportional to 2,415.78, 3,333.42 and 1,367.82

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Solution

The fourth proportional to 2,415.78, 3,333.42 and 1,367.82 is: 1,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.78 : 3,333.42 = 1,367.82 : x
  2. Step 2: Convert to fraction form
    2,415.78/3,333.42 = 1,367.82/x
  3. Step 3: Cross multiply
    2,415.78x = 3,333.42 × 1,367.82
  4. Step 4: Simplify right side
    2,415.78x = 4,559,518.54
  5. Step 5: Solve for x
    x = 4,559,518.54/2,415.78
  6. Step 6: Final answer
    x = 1,887.39

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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.