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Finding the Fourth Proportional to 2,121.08, 3,182.58 and 967.16

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Solution

The fourth proportional to 2,121.08, 3,182.58 and 967.16 is: 1,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.08 : 3,182.58 = 967.16 : x
  2. Step 2: Convert to fraction form
    2,121.08/3,182.58 = 967.16/x
  3. Step 3: Cross multiply
    2,121.08x = 3,182.58 × 967.16
  4. Step 4: Simplify right side
    2,121.08x = 3,078,064.07
  5. Step 5: Solve for x
    x = 3,078,064.07/2,121.08
  6. Step 6: Final answer
    x = 1,451.18

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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.