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Finding the Fourth Proportional to 2,980.62, 4,113.82 and 1,722.48

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Solution

The fourth proportional to 2,980.62, 4,113.82 and 1,722.48 is: 2,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.62 : 4,113.82 = 1,722.48 : x
  2. Step 2: Convert to fraction form
    2,980.62/4,113.82 = 1,722.48/x
  3. Step 3: Cross multiply
    2,980.62x = 4,113.82 × 1,722.48
  4. Step 4: Simplify right side
    2,980.62x = 7,085,972.67
  5. Step 5: Solve for x
    x = 7,085,972.67/2,980.62
  6. Step 6: Final answer
    x = 2,377.35

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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.