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Finding the Fourth Proportional to 2,764.76, 3,810.12 and 1,977.44

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Solution

The fourth proportional to 2,764.76, 3,810.12 and 1,977.44 is: 2,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.76 : 3,810.12 = 1,977.44 : x
  2. Step 2: Convert to fraction form
    2,764.76/3,810.12 = 1,977.44/x
  3. Step 3: Cross multiply
    2,764.76x = 3,810.12 × 1,977.44
  4. Step 4: Simplify right side
    2,764.76x = 7,534,283.69
  5. Step 5: Solve for x
    x = 7,534,283.69/2,764.76
  6. Step 6: Final answer
    x = 2,725.11

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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.