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Finding the Fourth Proportional to 2,097.81, 3,145.30 and 1,174.01

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Solution

The fourth proportional to 2,097.81, 3,145.30 and 1,174.01 is: 1,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.81 : 3,145.30 = 1,174.01 : x
  2. Step 2: Convert to fraction form
    2,097.81/3,145.30 = 1,174.01/x
  3. Step 3: Cross multiply
    2,097.81x = 3,145.30 × 1,174.01
  4. Step 4: Simplify right side
    2,097.81x = 3,692,594.99
  5. Step 5: Solve for x
    x = 3,692,594.99/2,097.81
  6. Step 6: Final answer
    x = 1,760.21

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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.