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Finding the Fourth Proportional to 1,274.83, 1,899.25 and 1,212.86

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Solution

The fourth proportional to 1,274.83, 1,899.25 and 1,212.86 is: 1,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.83 : 1,899.25 = 1,212.86 : x
  2. Step 2: Convert to fraction form
    1,274.83/1,899.25 = 1,212.86/x
  3. Step 3: Cross multiply
    1,274.83x = 1,899.25 × 1,212.86
  4. Step 4: Simplify right side
    1,274.83x = 2,303,526.07
  5. Step 5: Solve for x
    x = 2,303,526.07/1,274.83
  6. Step 6: Final answer
    x = 1,806.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.