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Finding the Fourth Proportional to 3,002.55, 4,503.29 and 810.99

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Solution

The fourth proportional to 3,002.55, 4,503.29 and 810.99 is: 1,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.55 : 4,503.29 = 810.99 : x
  2. Step 2: Convert to fraction form
    3,002.55/4,503.29 = 810.99/x
  3. Step 3: Cross multiply
    3,002.55x = 4,503.29 × 810.99
  4. Step 4: Simplify right side
    3,002.55x = 3,652,119.10
  5. Step 5: Solve for x
    x = 3,652,119.10/3,002.55
  6. Step 6: Final answer
    x = 1,216.34

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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.