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Finding the Fourth Proportional to 1,720.62, 2,344.64 and 1,680.52

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Solution

The fourth proportional to 1,720.62, 2,344.64 and 1,680.52 is: 2,290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.62 : 2,344.64 = 1,680.52 : x
  2. Step 2: Convert to fraction form
    1,720.62/2,344.64 = 1,680.52/x
  3. Step 3: Cross multiply
    1,720.62x = 2,344.64 × 1,680.52
  4. Step 4: Simplify right side
    1,720.62x = 3,940,214.41
  5. Step 5: Solve for x
    x = 3,940,214.41/1,720.62
  6. Step 6: Final answer
    x = 2,290.00

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.