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Finding the Fourth Proportional to 2,778.24, 3,831.06 and 2,404.08

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Solution

The fourth proportional to 2,778.24, 3,831.06 and 2,404.08 is: 3,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.24 : 3,831.06 = 2,404.08 : x
  2. Step 2: Convert to fraction form
    2,778.24/3,831.06 = 2,404.08/x
  3. Step 3: Cross multiply
    2,778.24x = 3,831.06 × 2,404.08
  4. Step 4: Simplify right side
    2,778.24x = 9,210,174.72
  5. Step 5: Solve for x
    x = 9,210,174.72/2,778.24
  6. Step 6: Final answer
    x = 3,315.11

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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.