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Finding the Fourth Proportional to 2,312.83, 3,191.82 and 1,369.16

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Solution

The fourth proportional to 2,312.83, 3,191.82 and 1,369.16 is: 1,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.83 : 3,191.82 = 1,369.16 : x
  2. Step 2: Convert to fraction form
    2,312.83/3,191.82 = 1,369.16/x
  3. Step 3: Cross multiply
    2,312.83x = 3,191.82 × 1,369.16
  4. Step 4: Simplify right side
    2,312.83x = 4,370,103.15
  5. Step 5: Solve for x
    x = 4,370,103.15/2,312.83
  6. Step 6: Final answer
    x = 1,889.51

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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.