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Finding the Fourth Proportional to 1,276.84, 1,926.74 and 1,231.08

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Solution

The fourth proportional to 1,276.84, 1,926.74 and 1,231.08 is: 1,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.84 : 1,926.74 = 1,231.08 : x
  2. Step 2: Convert to fraction form
    1,276.84/1,926.74 = 1,231.08/x
  3. Step 3: Cross multiply
    1,276.84x = 1,926.74 × 1,231.08
  4. Step 4: Simplify right side
    1,276.84x = 2,371,971.08
  5. Step 5: Solve for x
    x = 2,371,971.08/1,276.84
  6. Step 6: Final answer
    x = 1,857.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.