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Finding the Fourth Proportional to 2,814.36, 3,881.64 and 2,068.08

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Solution

The fourth proportional to 2,814.36, 3,881.64 and 2,068.08 is: 2,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.36 : 3,881.64 = 2,068.08 : x
  2. Step 2: Convert to fraction form
    2,814.36/3,881.64 = 2,068.08/x
  3. Step 3: Cross multiply
    2,814.36x = 3,881.64 × 2,068.08
  4. Step 4: Simplify right side
    2,814.36x = 8,027,542.05
  5. Step 5: Solve for x
    x = 8,027,542.05/2,814.36
  6. Step 6: Final answer
    x = 2,852.35

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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.