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Finding the Fourth Proportional to 2,865.57, 4,298.99 and 917.97

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Solution

The fourth proportional to 2,865.57, 4,298.99 and 917.97 is: 1,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.57 : 4,298.99 = 917.97 : x
  2. Step 2: Convert to fraction form
    2,865.57/4,298.99 = 917.97/x
  3. Step 3: Cross multiply
    2,865.57x = 4,298.99 × 917.97
  4. Step 4: Simplify right side
    2,865.57x = 3,946,339.26
  5. Step 5: Solve for x
    x = 3,946,339.26/2,865.57
  6. Step 6: Final answer
    x = 1,377.16

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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.