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Finding the Fourth Proportional to 2,052.71, 2,832.74 and 1,121.21

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Solution

The fourth proportional to 2,052.71, 2,832.74 and 1,121.21 is: 1,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.71 : 2,832.74 = 1,121.21 : x
  2. Step 2: Convert to fraction form
    2,052.71/2,832.74 = 1,121.21/x
  3. Step 3: Cross multiply
    2,052.71x = 2,832.74 × 1,121.21
  4. Step 4: Simplify right side
    2,052.71x = 3,176,096.42
  5. Step 5: Solve for x
    x = 3,176,096.42/2,052.71
  6. Step 6: Final answer
    x = 1,547.27

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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.