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Finding the Fourth Proportional to 1,263.52, 1,745.81 and 1,219.17

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Solution

The fourth proportional to 1,263.52, 1,745.81 and 1,219.17 is: 1,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.52 : 1,745.81 = 1,219.17 : x
  2. Step 2: Convert to fraction form
    1,263.52/1,745.81 = 1,219.17/x
  3. Step 3: Cross multiply
    1,263.52x = 1,745.81 × 1,219.17
  4. Step 4: Simplify right side
    1,263.52x = 2,128,439.18
  5. Step 5: Solve for x
    x = 2,128,439.18/1,263.52
  6. Step 6: Final answer
    x = 1,684.53

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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.