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Finding the Fourth Proportional to 1,212.12, 1,814.04 and 966.16

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Solution

The fourth proportional to 1,212.12, 1,814.04 and 966.16 is: 1,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.12 : 1,814.04 = 966.16 : x
  2. Step 2: Convert to fraction form
    1,212.12/1,814.04 = 966.16/x
  3. Step 3: Cross multiply
    1,212.12x = 1,814.04 × 966.16
  4. Step 4: Simplify right side
    1,212.12x = 1,752,652.89
  5. Step 5: Solve for x
    x = 1,752,652.89/1,212.12
  6. Step 6: Final answer
    x = 1,445.94

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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.