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Finding the Fourth Proportional to 1,927.41, 2,885.45 and 1,194.63

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Solution

The fourth proportional to 1,927.41, 2,885.45 and 1,194.63 is: 1,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.41 : 2,885.45 = 1,194.63 : x
  2. Step 2: Convert to fraction form
    1,927.41/2,885.45 = 1,194.63/x
  3. Step 3: Cross multiply
    1,927.41x = 2,885.45 × 1,194.63
  4. Step 4: Simplify right side
    1,927.41x = 3,447,039.16
  5. Step 5: Solve for x
    x = 3,447,039.16/1,927.41
  6. Step 6: Final answer
    x = 1,788.43

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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.