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Finding the Fourth Proportional to 2,084.18, 3,125.34 and 623.05

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Solution

The fourth proportional to 2,084.18, 3,125.34 and 623.05 is: 934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.18 : 3,125.34 = 623.05 : x
  2. Step 2: Convert to fraction form
    2,084.18/3,125.34 = 623.05/x
  3. Step 3: Cross multiply
    2,084.18x = 3,125.34 × 623.05
  4. Step 4: Simplify right side
    2,084.18x = 1,947,235.27
  5. Step 5: Solve for x
    x = 1,947,235.27/2,084.18
  6. Step 6: Final answer
    x = 934.30

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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.