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Finding the Fourth Proportional to 2,980.33, 4,112.01 and 2,348.90

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Solution

The fourth proportional to 2,980.33, 4,112.01 and 2,348.90 is: 3,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.33 : 4,112.01 = 2,348.90 : x
  2. Step 2: Convert to fraction form
    2,980.33/4,112.01 = 2,348.90/x
  3. Step 3: Cross multiply
    2,980.33x = 4,112.01 × 2,348.90
  4. Step 4: Simplify right side
    2,980.33x = 9,658,700.29
  5. Step 5: Solve for x
    x = 9,658,700.29/2,980.33
  6. Step 6: Final answer
    x = 3,240.82

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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.