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Finding the Fourth Proportional to 1,964,414.82, 2,711,264.46 and 1,229,711.06

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Solution

The fourth proportional to 1,964,414.82, 2,711,264.46 and 1,229,711.06 is: 1,697,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,414.82 : 2,711,264.46 = 1,229,711.06 : x
  2. Step 2: Convert to fraction form
    1,964,414.82/2,711,264.46 = 1,229,711.06/x
  3. Step 3: Cross multiply
    1,964,414.82x = 2,711,264.46 × 1,229,711.06
  4. Step 4: Simplify right side
    1,964,414.82x = 3,334,071,893,046.93
  5. Step 5: Solve for x
    x = 3,334,071,893,046.93/1,964,414.82
  6. Step 6: Final answer
    x = 1,697,234.14

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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.