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Finding the Fourth Proportional to 2,717.63, 3,750.09 and 1,583.12

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Solution

The fourth proportional to 2,717.63, 3,750.09 and 1,583.12 is: 2,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.63 : 3,750.09 = 1,583.12 : x
  2. Step 2: Convert to fraction form
    2,717.63/3,750.09 = 1,583.12/x
  3. Step 3: Cross multiply
    2,717.63x = 3,750.09 × 1,583.12
  4. Step 4: Simplify right side
    2,717.63x = 5,936,842.48
  5. Step 5: Solve for x
    x = 5,936,842.48/2,717.63
  6. Step 6: Final answer
    x = 2,184.57

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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.