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Finding the Fourth Proportional to 1,780.17, 2,667.85 and 683.93

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Solution

The fourth proportional to 1,780.17, 2,667.85 and 683.93 is: 1,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.17 : 2,667.85 = 683.93 : x
  2. Step 2: Convert to fraction form
    1,780.17/2,667.85 = 683.93/x
  3. Step 3: Cross multiply
    1,780.17x = 2,667.85 × 683.93
  4. Step 4: Simplify right side
    1,780.17x = 1,824,622.65
  5. Step 5: Solve for x
    x = 1,824,622.65/1,780.17
  6. Step 6: Final answer
    x = 1,024.97

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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.