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Finding the Fourth Proportional to 2,052.66, 2,832.70 and 1,121.16

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Solution

The fourth proportional to 2,052.66, 2,832.70 and 1,121.16 is: 1,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.66 : 2,832.70 = 1,121.16 : x
  2. Step 2: Convert to fraction form
    2,052.66/2,832.70 = 1,121.16/x
  3. Step 3: Cross multiply
    2,052.66x = 2,832.70 × 1,121.16
  4. Step 4: Simplify right side
    2,052.66x = 3,175,909.93
  5. Step 5: Solve for x
    x = 3,175,909.93/2,052.66
  6. Step 6: Final answer
    x = 1,547.22

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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.