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Finding the Fourth Proportional to 1,622.58, 2,236.95 and 1,180.50

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Solution

The fourth proportional to 1,622.58, 2,236.95 and 1,180.50 is: 1,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.58 : 2,236.95 = 1,180.50 : x
  2. Step 2: Convert to fraction form
    1,622.58/2,236.95 = 1,180.50/x
  3. Step 3: Cross multiply
    1,622.58x = 2,236.95 × 1,180.50
  4. Step 4: Simplify right side
    1,622.58x = 2,640,719.48
  5. Step 5: Solve for x
    x = 2,640,719.48/1,622.58
  6. Step 6: Final answer
    x = 1,627.48

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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.