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Finding the Fourth Proportional to 2,739.15, 3,780 and 1,691.01

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Solution

The fourth proportional to 2,739.15, 3,780 and 1,691.01 is: 2,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.15 : 3,780 = 1,691.01 : x
  2. Step 2: Convert to fraction form
    2,739.15/3,780 = 1,691.01/x
  3. Step 3: Cross multiply
    2,739.15x = 3,780 × 1,691.01
  4. Step 4: Simplify right side
    2,739.15x = 6,392,017.80
  5. Step 5: Solve for x
    x = 6,392,017.80/2,739.15
  6. Step 6: Final answer
    x = 2,333.58

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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.