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Finding the Fourth Proportional to 1,853.72, 2,783.35 and 1,164.75

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Solution

The fourth proportional to 1,853.72, 2,783.35 and 1,164.75 is: 1,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.72 : 2,783.35 = 1,164.75 : x
  2. Step 2: Convert to fraction form
    1,853.72/2,783.35 = 1,164.75/x
  3. Step 3: Cross multiply
    1,853.72x = 2,783.35 × 1,164.75
  4. Step 4: Simplify right side
    1,853.72x = 3,241,906.91
  5. Step 5: Solve for x
    x = 3,241,906.91/1,853.72
  6. Step 6: Final answer
    x = 1,748.87

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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.