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Finding the Fourth Proportional to 2,082.85, 3,124.78 and 621.99

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Solution

The fourth proportional to 2,082.85, 3,124.78 and 621.99 is: 933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.85 : 3,124.78 = 621.99 : x
  2. Step 2: Convert to fraction form
    2,082.85/3,124.78 = 621.99/x
  3. Step 3: Cross multiply
    2,082.85x = 3,124.78 × 621.99
  4. Step 4: Simplify right side
    2,082.85x = 1,943,580.36
  5. Step 5: Solve for x
    x = 1,943,580.36/2,082.85
  6. Step 6: Final answer
    x = 933.14

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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.