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Finding the Fourth Proportional to 2,406.57, 3,319.75 and 1,742.27

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Solution

The fourth proportional to 2,406.57, 3,319.75 and 1,742.27 is: 2,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.57 : 3,319.75 = 1,742.27 : x
  2. Step 2: Convert to fraction form
    2,406.57/3,319.75 = 1,742.27/x
  3. Step 3: Cross multiply
    2,406.57x = 3,319.75 × 1,742.27
  4. Step 4: Simplify right side
    2,406.57x = 5,783,875.52
  5. Step 5: Solve for x
    x = 5,783,875.52/2,406.57
  6. Step 6: Final answer
    x = 2,403.37

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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.