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Finding the Fourth Proportional to 2,254.48, 3,381.60 and 793.51

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Solution

The fourth proportional to 2,254.48, 3,381.60 and 793.51 is: 1,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.48 : 3,381.60 = 793.51 : x
  2. Step 2: Convert to fraction form
    2,254.48/3,381.60 = 793.51/x
  3. Step 3: Cross multiply
    2,254.48x = 3,381.60 × 793.51
  4. Step 4: Simplify right side
    2,254.48x = 2,683,342.50
  5. Step 5: Solve for x
    x = 2,683,342.50/2,254.48
  6. Step 6: Final answer
    x = 1,190.23

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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.