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Finding the Fourth Proportional to 3,003.03, 4,504.56 and 811.77

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Solution

The fourth proportional to 3,003.03, 4,504.56 and 811.77 is: 1,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.03 : 4,504.56 = 811.77 : x
  2. Step 2: Convert to fraction form
    3,003.03/4,504.56 = 811.77/x
  3. Step 3: Cross multiply
    3,003.03x = 4,504.56 × 811.77
  4. Step 4: Simplify right side
    3,003.03x = 3,656,666.67
  5. Step 5: Solve for x
    x = 3,656,666.67/3,003.03
  6. Step 6: Final answer
    x = 1,217.66

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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.