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Finding the Fourth Proportional to 1,778.50, 2,667.14 and 683.18

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Solution

The fourth proportional to 1,778.50, 2,667.14 and 683.18 is: 1,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.50 : 2,667.14 = 683.18 : x
  2. Step 2: Convert to fraction form
    1,778.50/2,667.14 = 683.18/x
  3. Step 3: Cross multiply
    1,778.50x = 2,667.14 × 683.18
  4. Step 4: Simplify right side
    1,778.50x = 1,822,136.71
  5. Step 5: Solve for x
    x = 1,822,136.71/1,778.50
  6. Step 6: Final answer
    x = 1,024.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.