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Finding the Fourth Proportional to 1,970,392.86, 2,719,086.44 and 1,099,253.25

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Solution

The fourth proportional to 1,970,392.86, 2,719,086.44 and 1,099,253.25 is: 1,516,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,392.86 : 2,719,086.44 = 1,099,253.25 : x
  2. Step 2: Convert to fraction form
    1,970,392.86/2,719,086.44 = 1,099,253.25/x
  3. Step 3: Cross multiply
    1,970,392.86x = 2,719,086.44 × 1,099,253.25
  4. Step 4: Simplify right side
    1,970,392.86x = 2,988,964,600,704.66
  5. Step 5: Solve for x
    x = 2,988,964,600,704.66/1,970,392.86
  6. Step 6: Final answer
    x = 1,516,938.40

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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.