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Finding the Fourth Proportional to 2,051.89, 3,076.75 and 735.13

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Solution

The fourth proportional to 2,051.89, 3,076.75 and 735.13 is: 1,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.89 : 3,076.75 = 735.13 : x
  2. Step 2: Convert to fraction form
    2,051.89/3,076.75 = 735.13/x
  3. Step 3: Cross multiply
    2,051.89x = 3,076.75 × 735.13
  4. Step 4: Simplify right side
    2,051.89x = 2,261,811.23
  5. Step 5: Solve for x
    x = 2,261,811.23/2,051.89
  6. Step 6: Final answer
    x = 1,102.31

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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.