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Finding the Fourth Proportional to 2,506.46, 3,757.04 and 1,335.74

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Solution

The fourth proportional to 2,506.46, 3,757.04 and 1,335.74 is: 2,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.46 : 3,757.04 = 1,335.74 : x
  2. Step 2: Convert to fraction form
    2,506.46/3,757.04 = 1,335.74/x
  3. Step 3: Cross multiply
    2,506.46x = 3,757.04 × 1,335.74
  4. Step 4: Simplify right side
    2,506.46x = 5,018,403.15
  5. Step 5: Solve for x
    x = 5,018,403.15/2,506.46
  6. Step 6: Final answer
    x = 2,002.19

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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.