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Finding the Fourth Proportional to 2,508.74, 3,760.47 and 1,207.46

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Solution

The fourth proportional to 2,508.74, 3,760.47 and 1,207.46 is: 1,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.74 : 3,760.47 = 1,207.46 : x
  2. Step 2: Convert to fraction form
    2,508.74/3,760.47 = 1,207.46/x
  3. Step 3: Cross multiply
    2,508.74x = 3,760.47 × 1,207.46
  4. Step 4: Simplify right side
    2,508.74x = 4,540,617.11
  5. Step 5: Solve for x
    x = 4,540,617.11/2,508.74
  6. Step 6: Final answer
    x = 1,809.92

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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.