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Finding the Fourth Proportional to 1,985.92, 2,741.80 and 1,278.03

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Solution

The fourth proportional to 1,985.92, 2,741.80 and 1,278.03 is: 1,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.92 : 2,741.80 = 1,278.03 : x
  2. Step 2: Convert to fraction form
    1,985.92/2,741.80 = 1,278.03/x
  3. Step 3: Cross multiply
    1,985.92x = 2,741.80 × 1,278.03
  4. Step 4: Simplify right side
    1,985.92x = 3,504,096.71
  5. Step 5: Solve for x
    x = 3,504,096.71/1,985.92
  6. Step 6: Final answer
    x = 1,764.47

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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.