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Finding the Fourth Proportional to 2,782.76, 3,818.27 and 2,756.63

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Solution

The fourth proportional to 2,782.76, 3,818.27 and 2,756.63 is: 3,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.76 : 3,818.27 = 2,756.63 : x
  2. Step 2: Convert to fraction form
    2,782.76/3,818.27 = 2,756.63/x
  3. Step 3: Cross multiply
    2,782.76x = 3,818.27 × 2,756.63
  4. Step 4: Simplify right side
    2,782.76x = 10,525,574.07
  5. Step 5: Solve for x
    x = 10,525,574.07/2,782.76
  6. Step 6: Final answer
    x = 3,782.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.