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Finding the Fourth Proportional to 2,776.24, 3,831.87 and 1,783.87

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Solution

The fourth proportional to 2,776.24, 3,831.87 and 1,783.87 is: 2,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.24 : 3,831.87 = 1,783.87 : x
  2. Step 2: Convert to fraction form
    2,776.24/3,831.87 = 1,783.87/x
  3. Step 3: Cross multiply
    2,776.24x = 3,831.87 × 1,783.87
  4. Step 4: Simplify right side
    2,776.24x = 6,835,557.94
  5. Step 5: Solve for x
    x = 6,835,557.94/2,776.24
  6. Step 6: Final answer
    x = 2,462.16

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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.