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Finding the Fourth Proportional to 3,002.06, 4,502.89 and 810.81

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Solution

The fourth proportional to 3,002.06, 4,502.89 and 810.81 is: 1,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.06 : 4,502.89 = 810.81 : x
  2. Step 2: Convert to fraction form
    3,002.06/4,502.89 = 810.81/x
  3. Step 3: Cross multiply
    3,002.06x = 4,502.89 × 810.81
  4. Step 4: Simplify right side
    3,002.06x = 3,650,989.25
  5. Step 5: Solve for x
    x = 3,650,989.25/3,002.06
  6. Step 6: Final answer
    x = 1,216.16

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Why These Related Problems?

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