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Finding the Fourth Proportional to 1,980.32, 2,967.71 and 1,720.91

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Solution

The fourth proportional to 1,980.32, 2,967.71 and 1,720.91 is: 2,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.32 : 2,967.71 = 1,720.91 : x
  2. Step 2: Convert to fraction form
    1,980.32/2,967.71 = 1,720.91/x
  3. Step 3: Cross multiply
    1,980.32x = 2,967.71 × 1,720.91
  4. Step 4: Simplify right side
    1,980.32x = 5,107,160.63
  5. Step 5: Solve for x
    x = 5,107,160.63/1,980.32
  6. Step 6: Final answer
    x = 2,578.96

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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.