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Finding the Fourth Proportional to 2,184,978.60, 3,278,642.94 and 2,105,448.84

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Solution

The fourth proportional to 2,184,978.60, 3,278,642.94 and 2,105,448.84 is: 3,159,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,978.60 : 3,278,642.94 = 2,105,448.84 : x
  2. Step 2: Convert to fraction form
    2,184,978.60/3,278,642.94 = 2,105,448.84/x
  3. Step 3: Cross multiply
    2,184,978.60x = 3,278,642.94 × 2,105,448.84
  4. Step 4: Simplify right side
    2,184,978.60x = 6,903,014,974,797.19
  5. Step 5: Solve for x
    x = 6,903,014,974,797.19/2,184,978.60
  6. Step 6: Final answer
    x = 3,159,305.53

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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.