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Finding the Fourth Proportional to 2,034.63, 3,051.84 and 1,333.44

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Solution

The fourth proportional to 2,034.63, 3,051.84 and 1,333.44 is: 2,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.63 : 3,051.84 = 1,333.44 : x
  2. Step 2: Convert to fraction form
    2,034.63/3,051.84 = 1,333.44/x
  3. Step 3: Cross multiply
    2,034.63x = 3,051.84 × 1,333.44
  4. Step 4: Simplify right side
    2,034.63x = 4,069,445.53
  5. Step 5: Solve for x
    x = 4,069,445.53/2,034.63
  6. Step 6: Final answer
    x = 2,000.09

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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.