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Finding the Fourth Proportional to 2,643.88, 3,966.33 and 1,720.21

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Solution

The fourth proportional to 2,643.88, 3,966.33 and 1,720.21 is: 2,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.88 : 3,966.33 = 1,720.21 : x
  2. Step 2: Convert to fraction form
    2,643.88/3,966.33 = 1,720.21/x
  3. Step 3: Cross multiply
    2,643.88x = 3,966.33 × 1,720.21
  4. Step 4: Simplify right side
    2,643.88x = 6,822,928.40
  5. Step 5: Solve for x
    x = 6,822,928.40/2,643.88
  6. Step 6: Final answer
    x = 2,580.65

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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.