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Finding the Fourth Proportional to 2,533.94, 3,496.37 and 1,747.70

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Solution

The fourth proportional to 2,533.94, 3,496.37 and 1,747.70 is: 2,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.94 : 3,496.37 = 1,747.70 : x
  2. Step 2: Convert to fraction form
    2,533.94/3,496.37 = 1,747.70/x
  3. Step 3: Cross multiply
    2,533.94x = 3,496.37 × 1,747.70
  4. Step 4: Simplify right side
    2,533.94x = 6,110,605.85
  5. Step 5: Solve for x
    x = 6,110,605.85/2,533.94
  6. Step 6: Final answer
    x = 2,411.50

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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.