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Finding the Fourth Proportional to 2,758.79, 3,807.73 and 1,697.46

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Solution

The fourth proportional to 2,758.79, 3,807.73 and 1,697.46 is: 2,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.79 : 3,807.73 = 1,697.46 : x
  2. Step 2: Convert to fraction form
    2,758.79/3,807.73 = 1,697.46/x
  3. Step 3: Cross multiply
    2,758.79x = 3,807.73 × 1,697.46
  4. Step 4: Simplify right side
    2,758.79x = 6,463,465.12
  5. Step 5: Solve for x
    x = 6,463,465.12/2,758.79
  6. Step 6: Final answer
    x = 2,342.86

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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.