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Finding the Fourth Proportional to 2,157.76, 3,237.09 and 1,047.97

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Solution

The fourth proportional to 2,157.76, 3,237.09 and 1,047.97 is: 1,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.76 : 3,237.09 = 1,047.97 : x
  2. Step 2: Convert to fraction form
    2,157.76/3,237.09 = 1,047.97/x
  3. Step 3: Cross multiply
    2,157.76x = 3,237.09 × 1,047.97
  4. Step 4: Simplify right side
    2,157.76x = 3,392,373.21
  5. Step 5: Solve for x
    x = 3,392,373.21/2,157.76
  6. Step 6: Final answer
    x = 1,572.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.