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Finding the Fourth Proportional to 1,272.51, 1,894.30 and 1,212.87

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Solution

The fourth proportional to 1,272.51, 1,894.30 and 1,212.87 is: 1,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.51 : 1,894.30 = 1,212.87 : x
  2. Step 2: Convert to fraction form
    1,272.51/1,894.30 = 1,212.87/x
  3. Step 3: Cross multiply
    1,272.51x = 1,894.30 × 1,212.87
  4. Step 4: Simplify right side
    1,272.51x = 2,297,536.61
  5. Step 5: Solve for x
    x = 2,297,536.61/1,272.51
  6. Step 6: Final answer
    x = 1,805.52

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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.