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Finding the Fourth Proportional to 2,083.95, 3,126.33 and 623.12

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Solution

The fourth proportional to 2,083.95, 3,126.33 and 623.12 is: 934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.95 : 3,126.33 = 623.12 : x
  2. Step 2: Convert to fraction form
    2,083.95/3,126.33 = 623.12/x
  3. Step 3: Cross multiply
    2,083.95x = 3,126.33 × 623.12
  4. Step 4: Simplify right side
    2,083.95x = 1,948,063.12
  5. Step 5: Solve for x
    x = 1,948,063.12/2,083.95
  6. Step 6: Final answer
    x = 934.79

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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.