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Finding the Fourth Proportional to 2,782.77, 3,831.48 and 2,362.29

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Solution

The fourth proportional to 2,782.77, 3,831.48 and 2,362.29 is: 3,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.77 : 3,831.48 = 2,362.29 : x
  2. Step 2: Convert to fraction form
    2,782.77/3,831.48 = 2,362.29/x
  3. Step 3: Cross multiply
    2,782.77x = 3,831.48 × 2,362.29
  4. Step 4: Simplify right side
    2,782.77x = 9,051,066.89
  5. Step 5: Solve for x
    x = 9,051,066.89/2,782.77
  6. Step 6: Final answer
    x = 3,252.54

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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.