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Finding the Fourth Proportional to 2,504.30, 3,757.10 and 749.34

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Solution

The fourth proportional to 2,504.30, 3,757.10 and 749.34 is: 1,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.30 : 3,757.10 = 749.34 : x
  2. Step 2: Convert to fraction form
    2,504.30/3,757.10 = 749.34/x
  3. Step 3: Cross multiply
    2,504.30x = 3,757.10 × 749.34
  4. Step 4: Simplify right side
    2,504.30x = 2,815,345.31
  5. Step 5: Solve for x
    x = 2,815,345.31/2,504.30
  6. Step 6: Final answer
    x = 1,124.20

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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.