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Finding the Fourth Proportional to 2,312.46, 3,191.20 and 1,264.54

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Solution

The fourth proportional to 2,312.46, 3,191.20 and 1,264.54 is: 1,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.46 : 3,191.20 = 1,264.54 : x
  2. Step 2: Convert to fraction form
    2,312.46/3,191.20 = 1,264.54/x
  3. Step 3: Cross multiply
    2,312.46x = 3,191.20 × 1,264.54
  4. Step 4: Simplify right side
    2,312.46x = 4,035,409.61
  5. Step 5: Solve for x
    x = 4,035,409.61/2,312.46
  6. Step 6: Final answer
    x = 1,745.07

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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.