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Finding the Fourth Proportional to 2,717.47, 4,076.21 and 1,256.64

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Solution

The fourth proportional to 2,717.47, 4,076.21 and 1,256.64 is: 1,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.47 : 4,076.21 = 1,256.64 : x
  2. Step 2: Convert to fraction form
    2,717.47/4,076.21 = 1,256.64/x
  3. Step 3: Cross multiply
    2,717.47x = 4,076.21 × 1,256.64
  4. Step 4: Simplify right side
    2,717.47x = 5,122,328.53
  5. Step 5: Solve for x
    x = 5,122,328.53/2,717.47
  6. Step 6: Final answer
    x = 1,884.96

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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.