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Finding the Fourth Proportional to 2,802.69, 3,864.10 and 2,296.66

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Solution

The fourth proportional to 2,802.69, 3,864.10 and 2,296.66 is: 3,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.69 : 3,864.10 = 2,296.66 : x
  2. Step 2: Convert to fraction form
    2,802.69/3,864.10 = 2,296.66/x
  3. Step 3: Cross multiply
    2,802.69x = 3,864.10 × 2,296.66
  4. Step 4: Simplify right side
    2,802.69x = 8,874,523.91
  5. Step 5: Solve for x
    x = 8,874,523.91/2,802.69
  6. Step 6: Final answer
    x = 3,166.43

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1.5x scale

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.