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Finding the Fourth Proportional to 2,171.94, 3,264.51 and 1,445.94

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Solution

The fourth proportional to 2,171.94, 3,264.51 and 1,445.94 is: 2,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.94 : 3,264.51 = 1,445.94 : x
  2. Step 2: Convert to fraction form
    2,171.94/3,264.51 = 1,445.94/x
  3. Step 3: Cross multiply
    2,171.94x = 3,264.51 × 1,445.94
  4. Step 4: Simplify right side
    2,171.94x = 4,720,285.59
  5. Step 5: Solve for x
    x = 4,720,285.59/2,171.94
  6. Step 6: Final answer
    x = 2,173.30

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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.