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Finding the Fourth Proportional to 2,756.30, 3,799.32 and 2,165.82

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Solution

The fourth proportional to 2,756.30, 3,799.32 and 2,165.82 is: 2,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.30 : 3,799.32 = 2,165.82 : x
  2. Step 2: Convert to fraction form
    2,756.30/3,799.32 = 2,165.82/x
  3. Step 3: Cross multiply
    2,756.30x = 3,799.32 × 2,165.82
  4. Step 4: Simplify right side
    2,756.30x = 8,228,643.24
  5. Step 5: Solve for x
    x = 8,228,643.24/2,756.30
  6. Step 6: Final answer
    x = 2,985.39

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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.