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Finding the Fourth Proportional to 2,173.57, 3,259.14 and 940.21

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Solution

The fourth proportional to 2,173.57, 3,259.14 and 940.21 is: 1,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.57 : 3,259.14 = 940.21 : x
  2. Step 2: Convert to fraction form
    2,173.57/3,259.14 = 940.21/x
  3. Step 3: Cross multiply
    2,173.57x = 3,259.14 × 940.21
  4. Step 4: Simplify right side
    2,173.57x = 3,064,276.02
  5. Step 5: Solve for x
    x = 3,064,276.02/2,173.57
  6. Step 6: Final answer
    x = 1,409.79

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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.