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Finding the Fourth Proportional to 2,756.84, 4,131.30 and 2,137.64

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Solution

The fourth proportional to 2,756.84, 4,131.30 and 2,137.64 is: 3,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.84 : 4,131.30 = 2,137.64 : x
  2. Step 2: Convert to fraction form
    2,756.84/4,131.30 = 2,137.64/x
  3. Step 3: Cross multiply
    2,756.84x = 4,131.30 × 2,137.64
  4. Step 4: Simplify right side
    2,756.84x = 8,831,242.73
  5. Step 5: Solve for x
    x = 8,831,242.73/2,756.84
  6. Step 6: Final answer
    x = 3,203.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.