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Finding the Fourth Proportional to 2,052.51, 2,832.36 and 1,257.15

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Solution

The fourth proportional to 2,052.51, 2,832.36 and 1,257.15 is: 1,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.51 : 2,832.36 = 1,257.15 : x
  2. Step 2: Convert to fraction form
    2,052.51/2,832.36 = 1,257.15/x
  3. Step 3: Cross multiply
    2,052.51x = 2,832.36 × 1,257.15
  4. Step 4: Simplify right side
    2,052.51x = 3,560,701.37
  5. Step 5: Solve for x
    x = 3,560,701.37/2,052.51
  6. Step 6: Final answer
    x = 1,734.80

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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.