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Finding the Fourth Proportional to 1,480.12, 2,221.66 and 786.62

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Solution

The fourth proportional to 1,480.12, 2,221.66 and 786.62 is: 1,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.12 : 2,221.66 = 786.62 : x
  2. Step 2: Convert to fraction form
    1,480.12/2,221.66 = 786.62/x
  3. Step 3: Cross multiply
    1,480.12x = 2,221.66 × 786.62
  4. Step 4: Simplify right side
    1,480.12x = 1,747,602.19
  5. Step 5: Solve for x
    x = 1,747,602.19/1,480.12
  6. Step 6: Final answer
    x = 1,180.72

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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.