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Finding the Fourth Proportional to 2,982.70, 4,116.07 and 1,656.37

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Solution

The fourth proportional to 2,982.70, 4,116.07 and 1,656.37 is: 2,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.70 : 4,116.07 = 1,656.37 : x
  2. Step 2: Convert to fraction form
    2,982.70/4,116.07 = 1,656.37/x
  3. Step 3: Cross multiply
    2,982.70x = 4,116.07 × 1,656.37
  4. Step 4: Simplify right side
    2,982.70x = 6,817,734.87
  5. Step 5: Solve for x
    x = 6,817,734.87/2,982.70
  6. Step 6: Final answer
    x = 2,285.76

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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.