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Finding the Fourth Proportional to 1,851.64, 2,552.30 and 1,253.94

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Solution

The fourth proportional to 1,851.64, 2,552.30 and 1,253.94 is: 1,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.64 : 2,552.30 = 1,253.94 : x
  2. Step 2: Convert to fraction form
    1,851.64/2,552.30 = 1,253.94/x
  3. Step 3: Cross multiply
    1,851.64x = 2,552.30 × 1,253.94
  4. Step 4: Simplify right side
    1,851.64x = 3,200,431.06
  5. Step 5: Solve for x
    x = 3,200,431.06/1,851.64
  6. Step 6: Final answer
    x = 1,728.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.