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Finding the Fourth Proportional to 2,876.72, 3,968.53 and 1,814.00

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Solution

The fourth proportional to 2,876.72, 3,968.53 and 1,814.00 is: 2,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.72 : 3,968.53 = 1,814.00 : x
  2. Step 2: Convert to fraction form
    2,876.72/3,968.53 = 1,814.00/x
  3. Step 3: Cross multiply
    2,876.72x = 3,968.53 × 1,814.00
  4. Step 4: Simplify right side
    2,876.72x = 7,198,889.04
  5. Step 5: Solve for x
    x = 7,198,889.04/2,876.72
  6. Step 6: Final answer
    x = 2,502.47

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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.