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Finding the Fourth Proportional to 3,002.14, 4,503.21 and 810.86

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Solution

The fourth proportional to 3,002.14, 4,503.21 and 810.86 is: 1,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.14 : 4,503.21 = 810.86 : x
  2. Step 2: Convert to fraction form
    3,002.14/4,503.21 = 810.86/x
  3. Step 3: Cross multiply
    3,002.14x = 4,503.21 × 810.86
  4. Step 4: Simplify right side
    3,002.14x = 3,651,472.86
  5. Step 5: Solve for x
    x = 3,651,472.86/3,002.14
  6. Step 6: Final answer
    x = 1,216.29

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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.