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Finding the Fourth Proportional to 2,038.89, 2,814.22 and 1,199.86

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Solution

The fourth proportional to 2,038.89, 2,814.22 and 1,199.86 is: 1,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.89 : 2,814.22 = 1,199.86 : x
  2. Step 2: Convert to fraction form
    2,038.89/2,814.22 = 1,199.86/x
  3. Step 3: Cross multiply
    2,038.89x = 2,814.22 × 1,199.86
  4. Step 4: Simplify right side
    2,038.89x = 3,376,667.01
  5. Step 5: Solve for x
    x = 3,376,667.01/2,038.89
  6. Step 6: Final answer
    x = 1,656.13

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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.