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Finding the Fourth Proportional to 2,084.22, 3,126.32 and 623.32

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Solution

The fourth proportional to 2,084.22, 3,126.32 and 623.32 is: 934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.22 : 3,126.32 = 623.32 : x
  2. Step 2: Convert to fraction form
    2,084.22/3,126.32 = 623.32/x
  3. Step 3: Cross multiply
    2,084.22x = 3,126.32 × 623.32
  4. Step 4: Simplify right side
    2,084.22x = 1,948,697.78
  5. Step 5: Solve for x
    x = 1,948,697.78/2,084.22
  6. Step 6: Final answer
    x = 934.98

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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.