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Finding the Fourth Proportional to 2,766.75, 3,818.02 and 1,507.77

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Solution

The fourth proportional to 2,766.75, 3,818.02 and 1,507.77 is: 2,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.75 : 3,818.02 = 1,507.77 : x
  2. Step 2: Convert to fraction form
    2,766.75/3,818.02 = 1,507.77/x
  3. Step 3: Cross multiply
    2,766.75x = 3,818.02 × 1,507.77
  4. Step 4: Simplify right side
    2,766.75x = 5,756,696.02
  5. Step 5: Solve for x
    x = 5,756,696.02/2,766.75
  6. Step 6: Final answer
    x = 2,080.67

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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.