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Finding the Fourth Proportional to 2,085.46, 3,127.42 and 624.12

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Solution

The fourth proportional to 2,085.46, 3,127.42 and 624.12 is: 935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.46 : 3,127.42 = 624.12 : x
  2. Step 2: Convert to fraction form
    2,085.46/3,127.42 = 624.12/x
  3. Step 3: Cross multiply
    2,085.46x = 3,127.42 × 624.12
  4. Step 4: Simplify right side
    2,085.46x = 1,951,885.37
  5. Step 5: Solve for x
    x = 1,951,885.37/2,085.46
  6. Step 6: Final answer
    x = 935.95

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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.