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Finding the Fourth Proportional to 1,573.70, 2,171.61 and 901.46

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Solution

The fourth proportional to 1,573.70, 2,171.61 and 901.46 is: 1,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.70 : 2,171.61 = 901.46 : x
  2. Step 2: Convert to fraction form
    1,573.70/2,171.61 = 901.46/x
  3. Step 3: Cross multiply
    1,573.70x = 2,171.61 × 901.46
  4. Step 4: Simplify right side
    1,573.70x = 1,957,624.98
  5. Step 5: Solve for x
    x = 1,957,624.98/1,573.70
  6. Step 6: Final answer
    x = 1,243.97

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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.