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Finding the Fourth Proportional to 2,305.45, 3,180.45 and 1,360.95

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Solution

The fourth proportional to 2,305.45, 3,180.45 and 1,360.95 is: 1,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.45 : 3,180.45 = 1,360.95 : x
  2. Step 2: Convert to fraction form
    2,305.45/3,180.45 = 1,360.95/x
  3. Step 3: Cross multiply
    2,305.45x = 3,180.45 × 1,360.95
  4. Step 4: Simplify right side
    2,305.45x = 4,328,433.43
  5. Step 5: Solve for x
    x = 4,328,433.43/2,305.45
  6. Step 6: Final answer
    x = 1,877.48

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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.