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Finding the Fourth Proportional to 2,768.10, 3,820.40 and 1,649.08

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Solution

The fourth proportional to 2,768.10, 3,820.40 and 1,649.08 is: 2,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.10 : 3,820.40 = 1,649.08 : x
  2. Step 2: Convert to fraction form
    2,768.10/3,820.40 = 1,649.08/x
  3. Step 3: Cross multiply
    2,768.10x = 3,820.40 × 1,649.08
  4. Step 4: Simplify right side
    2,768.10x = 6,300,145.23
  5. Step 5: Solve for x
    x = 6,300,145.23/2,768.10
  6. Step 6: Final answer
    x = 2,275.98

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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.