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Finding the Fourth Proportional to 2,686.47, 4,035.83 and 2,317.41

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Solution

The fourth proportional to 2,686.47, 4,035.83 and 2,317.41 is: 3,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.47 : 4,035.83 = 2,317.41 : x
  2. Step 2: Convert to fraction form
    2,686.47/4,035.83 = 2,317.41/x
  3. Step 3: Cross multiply
    2,686.47x = 4,035.83 × 2,317.41
  4. Step 4: Simplify right side
    2,686.47x = 9,352,661.21
  5. Step 5: Solve for x
    x = 9,352,661.21/2,686.47
  6. Step 6: Final answer
    x = 3,481.40

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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.