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Finding the Fourth Proportional to 2,900.36, 3,998.58 and 1,967.24

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Solution

The fourth proportional to 2,900.36, 3,998.58 and 1,967.24 is: 2,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.36 : 3,998.58 = 1,967.24 : x
  2. Step 2: Convert to fraction form
    2,900.36/3,998.58 = 1,967.24/x
  3. Step 3: Cross multiply
    2,900.36x = 3,998.58 × 1,967.24
  4. Step 4: Simplify right side
    2,900.36x = 7,866,166.52
  5. Step 5: Solve for x
    x = 7,866,166.52/2,900.36
  6. Step 6: Final answer
    x = 2,712.13

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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.