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Finding the Fourth Proportional to 1,842.84, 2,543.40 and 1,181.25

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Solution

The fourth proportional to 1,842.84, 2,543.40 and 1,181.25 is: 1,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.84 : 2,543.40 = 1,181.25 : x
  2. Step 2: Convert to fraction form
    1,842.84/2,543.40 = 1,181.25/x
  3. Step 3: Cross multiply
    1,842.84x = 2,543.40 × 1,181.25
  4. Step 4: Simplify right side
    1,842.84x = 3,004,391.25
  5. Step 5: Solve for x
    x = 3,004,391.25/1,842.84
  6. Step 6: Final answer
    x = 1,630.30

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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.