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Finding the Fourth Proportional to 2,312.79, 3,191.62 and 1,264.85

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Solution

The fourth proportional to 2,312.79, 3,191.62 and 1,264.85 is: 1,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.79 : 3,191.62 = 1,264.85 : x
  2. Step 2: Convert to fraction form
    2,312.79/3,191.62 = 1,264.85/x
  3. Step 3: Cross multiply
    2,312.79x = 3,191.62 × 1,264.85
  4. Step 4: Simplify right side
    2,312.79x = 4,036,923.91
  5. Step 5: Solve for x
    x = 4,036,923.91/2,312.79
  6. Step 6: Final answer
    x = 1,745.48

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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.