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Finding the Fourth Proportional to 2,389.63, 3,580.66 and 1,843.15

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Solution

The fourth proportional to 2,389.63, 3,580.66 and 1,843.15 is: 2,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.63 : 3,580.66 = 1,843.15 : x
  2. Step 2: Convert to fraction form
    2,389.63/3,580.66 = 1,843.15/x
  3. Step 3: Cross multiply
    2,389.63x = 3,580.66 × 1,843.15
  4. Step 4: Simplify right side
    2,389.63x = 6,599,693.48
  5. Step 5: Solve for x
    x = 6,599,693.48/2,389.63
  6. Step 6: Final answer
    x = 2,761.81

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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.