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Finding the Fourth Proportional to 2,368.81, 3,267.21 and 1,739.13

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Solution

The fourth proportional to 2,368.81, 3,267.21 and 1,739.13 is: 2,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.81 : 3,267.21 = 1,739.13 : x
  2. Step 2: Convert to fraction form
    2,368.81/3,267.21 = 1,739.13/x
  3. Step 3: Cross multiply
    2,368.81x = 3,267.21 × 1,739.13
  4. Step 4: Simplify right side
    2,368.81x = 5,682,102.93
  5. Step 5: Solve for x
    x = 5,682,102.93/2,368.81
  6. Step 6: Final answer
    x = 2,398.72

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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.