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Finding the Fourth Proportional to 2,477.86, 3,717.47 and 2,014.49

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Solution

The fourth proportional to 2,477.86, 3,717.47 and 2,014.49 is: 3,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.86 : 3,717.47 = 2,014.49 : x
  2. Step 2: Convert to fraction form
    2,477.86/3,717.47 = 2,014.49/x
  3. Step 3: Cross multiply
    2,477.86x = 3,717.47 × 2,014.49
  4. Step 4: Simplify right side
    2,477.86x = 7,488,806.14
  5. Step 5: Solve for x
    x = 7,488,806.14/2,477.86
  6. Step 6: Final answer
    x = 3,022.29

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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.