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Finding the Fourth Proportional to 2,786.16, 3,840.09 and 2,429.86

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Solution

The fourth proportional to 2,786.16, 3,840.09 and 2,429.86 is: 3,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.16 : 3,840.09 = 2,429.86 : x
  2. Step 2: Convert to fraction form
    2,786.16/3,840.09 = 2,429.86/x
  3. Step 3: Cross multiply
    2,786.16x = 3,840.09 × 2,429.86
  4. Step 4: Simplify right side
    2,786.16x = 9,330,881.09
  5. Step 5: Solve for x
    x = 9,330,881.09/2,786.16
  6. Step 6: Final answer
    x = 3,349.01

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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.