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Finding the Fourth Proportional to 2,529.96, 3,792 and 968.94

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Solution

The fourth proportional to 2,529.96, 3,792 and 968.94 is: 1,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.96 : 3,792 = 968.94 : x
  2. Step 2: Convert to fraction form
    2,529.96/3,792 = 968.94/x
  3. Step 3: Cross multiply
    2,529.96x = 3,792 × 968.94
  4. Step 4: Simplify right side
    2,529.96x = 3,674,220.48
  5. Step 5: Solve for x
    x = 3,674,220.48/2,529.96
  6. Step 6: Final answer
    x = 1,452.28

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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.