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Finding the Fourth Proportional to 1,842.90, 2,540.61 and 1,283.19

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Solution

The fourth proportional to 1,842.90, 2,540.61 and 1,283.19 is: 1,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.90 : 2,540.61 = 1,283.19 : x
  2. Step 2: Convert to fraction form
    1,842.90/2,540.61 = 1,283.19/x
  3. Step 3: Cross multiply
    1,842.90x = 2,540.61 × 1,283.19
  4. Step 4: Simplify right side
    1,842.90x = 3,260,085.35
  5. Step 5: Solve for x
    x = 3,260,085.35/1,842.90
  6. Step 6: Final answer
    x = 1,769.00

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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.