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Finding the Fourth Proportional to 1,573.10, 2,171.05 and 900.97

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Solution

The fourth proportional to 1,573.10, 2,171.05 and 900.97 is: 1,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.10 : 2,171.05 = 900.97 : x
  2. Step 2: Convert to fraction form
    1,573.10/2,171.05 = 900.97/x
  3. Step 3: Cross multiply
    1,573.10x = 2,171.05 × 900.97
  4. Step 4: Simplify right side
    1,573.10x = 1,956,050.92
  5. Step 5: Solve for x
    x = 1,956,050.92/1,573.10
  6. Step 6: Final answer
    x = 1,243.44

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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.