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Finding the Fourth Proportional to 2,967.82, 4,095.99 and 1,788.66

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Solution

The fourth proportional to 2,967.82, 4,095.99 and 1,788.66 is: 2,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.82 : 4,095.99 = 1,788.66 : x
  2. Step 2: Convert to fraction form
    2,967.82/4,095.99 = 1,788.66/x
  3. Step 3: Cross multiply
    2,967.82x = 4,095.99 × 1,788.66
  4. Step 4: Simplify right side
    2,967.82x = 7,326,333.47
  5. Step 5: Solve for x
    x = 7,326,333.47/2,967.82
  6. Step 6: Final answer
    x = 2,468.59

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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.