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Finding the Fourth Proportional to 3,175.49, 4,384.35 and 1,980.95

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Solution

The fourth proportional to 3,175.49, 4,384.35 and 1,980.95 is: 2,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.49 : 4,384.35 = 1,980.95 : x
  2. Step 2: Convert to fraction form
    3,175.49/4,384.35 = 1,980.95/x
  3. Step 3: Cross multiply
    3,175.49x = 4,384.35 × 1,980.95
  4. Step 4: Simplify right side
    3,175.49x = 8,685,156.21
  5. Step 5: Solve for x
    x = 8,685,156.21/3,175.49
  6. Step 6: Final answer
    x = 2,735.06

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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.