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Finding the Fourth Proportional to 2,506.40, 3,757.94 and 1,335.66

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Solution

The fourth proportional to 2,506.40, 3,757.94 and 1,335.66 is: 2,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.40 : 3,757.94 = 1,335.66 : x
  2. Step 2: Convert to fraction form
    2,506.40/3,757.94 = 1,335.66/x
  3. Step 3: Cross multiply
    2,506.40x = 3,757.94 × 1,335.66
  4. Step 4: Simplify right side
    2,506.40x = 5,019,330.14
  5. Step 5: Solve for x
    x = 5,019,330.14/2,506.40
  6. Step 6: Final answer
    x = 2,002.61

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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.