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Finding the Fourth Proportional to 2,683.92, 4,026.42 and 952.50

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Solution

The fourth proportional to 2,683.92, 4,026.42 and 952.50 is: 1,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.92 : 4,026.42 = 952.50 : x
  2. Step 2: Convert to fraction form
    2,683.92/4,026.42 = 952.50/x
  3. Step 3: Cross multiply
    2,683.92x = 4,026.42 × 952.50
  4. Step 4: Simplify right side
    2,683.92x = 3,835,165.05
  5. Step 5: Solve for x
    x = 3,835,165.05/2,683.92
  6. Step 6: Final answer
    x = 1,428.94

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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.