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Finding the Fourth Proportional to 2,592.36, 3,578.76 and 1,757.46

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Solution

The fourth proportional to 2,592.36, 3,578.76 and 1,757.46 is: 2,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.36 : 3,578.76 = 1,757.46 : x
  2. Step 2: Convert to fraction form
    2,592.36/3,578.76 = 1,757.46/x
  3. Step 3: Cross multiply
    2,592.36x = 3,578.76 × 1,757.46
  4. Step 4: Simplify right side
    2,592.36x = 6,289,527.55
  5. Step 5: Solve for x
    x = 6,289,527.55/2,592.36
  6. Step 6: Final answer
    x = 2,426.18

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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.