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Finding the Fourth Proportional to 1,916,697.24, 2,872,810.24 and 1,441,855.80

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Solution

The fourth proportional to 1,916,697.24, 2,872,810.24 and 1,441,855.80 is: 2,161,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916,697.24 : 2,872,810.24 = 1,441,855.80 : x
  2. Step 2: Convert to fraction form
    1,916,697.24/2,872,810.24 = 1,441,855.80/x
  3. Step 3: Cross multiply
    1,916,697.24x = 2,872,810.24 × 1,441,855.80
  4. Step 4: Simplify right side
    1,916,697.24x = 4,142,178,106,843.39
  5. Step 5: Solve for x
    x = 4,142,178,106,843.39/1,916,697.24
  6. Step 6: Final answer
    x = 2,161,101.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.