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Finding the Fourth Proportional to 2,982.54, 4,115.93 and 1,656.33

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Solution

The fourth proportional to 2,982.54, 4,115.93 and 1,656.33 is: 2,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.54 : 4,115.93 = 1,656.33 : x
  2. Step 2: Convert to fraction form
    2,982.54/4,115.93 = 1,656.33/x
  3. Step 3: Cross multiply
    2,982.54x = 4,115.93 × 1,656.33
  4. Step 4: Simplify right side
    2,982.54x = 6,817,338.34
  5. Step 5: Solve for x
    x = 6,817,338.34/2,982.54
  6. Step 6: Final answer
    x = 2,285.75

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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.