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Finding the Fourth Proportional to 2,762.10, 3,806.60 and 2,288.55

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Solution

The fourth proportional to 2,762.10, 3,806.60 and 2,288.55 is: 3,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.10 : 3,806.60 = 2,288.55 : x
  2. Step 2: Convert to fraction form
    2,762.10/3,806.60 = 2,288.55/x
  3. Step 3: Cross multiply
    2,762.10x = 3,806.60 × 2,288.55
  4. Step 4: Simplify right side
    2,762.10x = 8,711,597.26
  5. Step 5: Solve for x
    x = 8,711,597.26/2,762.10
  6. Step 6: Final answer
    x = 3,153.98

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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.