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Finding the Fourth Proportional to 1,965,714.22, 2,713,522.65 and 1,321,508.08

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Solution

The fourth proportional to 1,965,714.22, 2,713,522.65 and 1,321,508.08 is: 1,824,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,714.22 : 2,713,522.65 = 1,321,508.08 : x
  2. Step 2: Convert to fraction form
    1,965,714.22/2,713,522.65 = 1,321,508.08/x
  3. Step 3: Cross multiply
    1,965,714.22x = 2,713,522.65 × 1,321,508.08
  4. Step 4: Simplify right side
    1,965,714.22x = 3,585,942,107,238.01
  5. Step 5: Solve for x
    x = 3,585,942,107,238.01/1,965,714.22
  6. Step 6: Final answer
    x = 1,824,243.87

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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.