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Finding the Fourth Proportional to 2,902.93, 4,346.67 and 1,980.31

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Solution

The fourth proportional to 2,902.93, 4,346.67 and 1,980.31 is: 2,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.93 : 4,346.67 = 1,980.31 : x
  2. Step 2: Convert to fraction form
    2,902.93/4,346.67 = 1,980.31/x
  3. Step 3: Cross multiply
    2,902.93x = 4,346.67 × 1,980.31
  4. Step 4: Simplify right side
    2,902.93x = 8,607,754.07
  5. Step 5: Solve for x
    x = 8,607,754.07/2,902.93
  6. Step 6: Final answer
    x = 2,965.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.