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Finding the Fourth Proportional to 2,631.04, 3,946.66 and 683.19

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Solution

The fourth proportional to 2,631.04, 3,946.66 and 683.19 is: 1,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.04 : 3,946.66 = 683.19 : x
  2. Step 2: Convert to fraction form
    2,631.04/3,946.66 = 683.19/x
  3. Step 3: Cross multiply
    2,631.04x = 3,946.66 × 683.19
  4. Step 4: Simplify right side
    2,631.04x = 2,696,316.94
  5. Step 5: Solve for x
    x = 2,696,316.94/2,631.04
  6. Step 6: Final answer
    x = 1,024.81

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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.