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Finding the Fourth Proportional to 1,980.17, 2,730.82 and 1,700.31

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Solution

The fourth proportional to 1,980.17, 2,730.82 and 1,700.31 is: 2,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.17 : 2,730.82 = 1,700.31 : x
  2. Step 2: Convert to fraction form
    1,980.17/2,730.82 = 1,700.31/x
  3. Step 3: Cross multiply
    1,980.17x = 2,730.82 × 1,700.31
  4. Step 4: Simplify right side
    1,980.17x = 4,643,240.55
  5. Step 5: Solve for x
    x = 4,643,240.55/1,980.17
  6. Step 6: Final answer
    x = 2,344.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.