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Finding the Fourth Proportional to 2,776.83, 3,831.91 and 1,643.24

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Solution

The fourth proportional to 2,776.83, 3,831.91 and 1,643.24 is: 2,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.83 : 3,831.91 = 1,643.24 : x
  2. Step 2: Convert to fraction form
    2,776.83/3,831.91 = 1,643.24/x
  3. Step 3: Cross multiply
    2,776.83x = 3,831.91 × 1,643.24
  4. Step 4: Simplify right side
    2,776.83x = 6,296,720.41
  5. Step 5: Solve for x
    x = 6,296,720.41/2,776.83
  6. Step 6: Final answer
    x = 2,267.59

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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.