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Finding the Fourth Proportional to 1,212.34, 1,674.21 and 1,036.66

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Solution

The fourth proportional to 1,212.34, 1,674.21 and 1,036.66 is: 1,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.34 : 1,674.21 = 1,036.66 : x
  2. Step 2: Convert to fraction form
    1,212.34/1,674.21 = 1,036.66/x
  3. Step 3: Cross multiply
    1,212.34x = 1,674.21 × 1,036.66
  4. Step 4: Simplify right side
    1,212.34x = 1,735,586.54
  5. Step 5: Solve for x
    x = 1,735,586.54/1,212.34
  6. Step 6: Final answer
    x = 1,431.60

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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.