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Finding the Fourth Proportional to 2,051.63, 3,076.67 and 735.02

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Solution

The fourth proportional to 2,051.63, 3,076.67 and 735.02 is: 1,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.63 : 3,076.67 = 735.02 : x
  2. Step 2: Convert to fraction form
    2,051.63/3,076.67 = 735.02/x
  3. Step 3: Cross multiply
    2,051.63x = 3,076.67 × 735.02
  4. Step 4: Simplify right side
    2,051.63x = 2,261,425.15
  5. Step 5: Solve for x
    x = 2,261,425.15/2,051.63
  6. Step 6: Final answer
    x = 1,102.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.