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Finding the Fourth Proportional to 2,762.49, 3,812.58 and 1,583.54

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Solution

The fourth proportional to 2,762.49, 3,812.58 and 1,583.54 is: 2,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.49 : 3,812.58 = 1,583.54 : x
  2. Step 2: Convert to fraction form
    2,762.49/3,812.58 = 1,583.54/x
  3. Step 3: Cross multiply
    2,762.49x = 3,812.58 × 1,583.54
  4. Step 4: Simplify right side
    2,762.49x = 6,037,353.87
  5. Step 5: Solve for x
    x = 6,037,353.87/2,762.49
  6. Step 6: Final answer
    x = 2,185.48

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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.