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Finding the Fourth Proportional to 2,864.39, 3,953.18 and 1,745.98

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Solution

The fourth proportional to 2,864.39, 3,953.18 and 1,745.98 is: 2,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.39 : 3,953.18 = 1,745.98 : x
  2. Step 2: Convert to fraction form
    2,864.39/3,953.18 = 1,745.98/x
  3. Step 3: Cross multiply
    2,864.39x = 3,953.18 × 1,745.98
  4. Step 4: Simplify right side
    2,864.39x = 6,902,173.22
  5. Step 5: Solve for x
    x = 6,902,173.22/2,864.39
  6. Step 6: Final answer
    x = 2,409.65

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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.