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Finding the Fourth Proportional to 3,070.65, 4,606.46 and 1,221.78

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Solution

The fourth proportional to 3,070.65, 4,606.46 and 1,221.78 is: 1,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.65 : 4,606.46 = 1,221.78 : x
  2. Step 2: Convert to fraction form
    3,070.65/4,606.46 = 1,221.78/x
  3. Step 3: Cross multiply
    3,070.65x = 4,606.46 × 1,221.78
  4. Step 4: Simplify right side
    3,070.65x = 5,628,074.59
  5. Step 5: Solve for x
    x = 5,628,074.59/3,070.65
  6. Step 6: Final answer
    x = 1,832.86

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