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Finding the Fourth Proportional to 2,130.17, 3,195.78 and 813.99

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Solution

The fourth proportional to 2,130.17, 3,195.78 and 813.99 is: 1,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.17 : 3,195.78 = 813.99 : x
  2. Step 2: Convert to fraction form
    2,130.17/3,195.78 = 813.99/x
  3. Step 3: Cross multiply
    2,130.17x = 3,195.78 × 813.99
  4. Step 4: Simplify right side
    2,130.17x = 2,601,328.89
  5. Step 5: Solve for x
    x = 2,601,328.89/2,130.17
  6. Step 6: Final answer
    x = 1,221.18

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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.