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Finding the Fourth Proportional to 2,149.78, 3,225.75 and 917.62

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Solution

The fourth proportional to 2,149.78, 3,225.75 and 917.62 is: 1,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.78 : 3,225.75 = 917.62 : x
  2. Step 2: Convert to fraction form
    2,149.78/3,225.75 = 917.62/x
  3. Step 3: Cross multiply
    2,149.78x = 3,225.75 × 917.62
  4. Step 4: Simplify right side
    2,149.78x = 2,960,012.72
  5. Step 5: Solve for x
    x = 2,960,012.72/2,149.78
  6. Step 6: Final answer
    x = 1,376.89

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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.