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Finding the Fourth Proportional to 2,085.96, 3,128.17 and 624.62

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Solution

The fourth proportional to 2,085.96, 3,128.17 and 624.62 is: 936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.96 : 3,128.17 = 624.62 : x
  2. Step 2: Convert to fraction form
    2,085.96/3,128.17 = 624.62/x
  3. Step 3: Cross multiply
    2,085.96x = 3,128.17 × 624.62
  4. Step 4: Simplify right side
    2,085.96x = 1,953,917.55
  5. Step 5: Solve for x
    x = 1,953,917.55/2,085.96
  6. Step 6: Final answer
    x = 936.70

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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.