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Finding the Fourth Proportional to 2,084.23, 3,125.13 and 622.99

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Solution

The fourth proportional to 2,084.23, 3,125.13 and 622.99 is: 934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.23 : 3,125.13 = 622.99 : x
  2. Step 2: Convert to fraction form
    2,084.23/3,125.13 = 622.99/x
  3. Step 3: Cross multiply
    2,084.23x = 3,125.13 × 622.99
  4. Step 4: Simplify right side
    2,084.23x = 1,946,913.81
  5. Step 5: Solve for x
    x = 1,946,913.81/2,084.23
  6. Step 6: Final answer
    x = 934.12

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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.