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Finding the Fourth Proportional to 2,254.54, 3,381.54 and 955.84

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Solution

The fourth proportional to 2,254.54, 3,381.54 and 955.84 is: 1,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.54 : 3,381.54 = 955.84 : x
  2. Step 2: Convert to fraction form
    2,254.54/3,381.54 = 955.84/x
  3. Step 3: Cross multiply
    2,254.54x = 3,381.54 × 955.84
  4. Step 4: Simplify right side
    2,254.54x = 3,232,211.19
  5. Step 5: Solve for x
    x = 3,232,211.19/2,254.54
  6. Step 6: Final answer
    x = 1,433.65

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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.