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Finding the Fourth Proportional to 2,084.09, 3,126.14 and 623.20

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Solution

The fourth proportional to 2,084.09, 3,126.14 and 623.20 is: 934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.09 : 3,126.14 = 623.20 : x
  2. Step 2: Convert to fraction form
    2,084.09/3,126.14 = 623.20/x
  3. Step 3: Cross multiply
    2,084.09x = 3,126.14 × 623.20
  4. Step 4: Simplify right side
    2,084.09x = 1,948,210.45
  5. Step 5: Solve for x
    x = 1,948,210.45/2,084.09
  6. Step 6: Final answer
    x = 934.80

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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.