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Finding the Fourth Proportional to 2,990.64, 4,120.92 and 2,950.32

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Solution

The fourth proportional to 2,990.64, 4,120.92 and 2,950.32 is: 4,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.64 : 4,120.92 = 2,950.32 : x
  2. Step 2: Convert to fraction form
    2,990.64/4,120.92 = 2,950.32/x
  3. Step 3: Cross multiply
    2,990.64x = 4,120.92 × 2,950.32
  4. Step 4: Simplify right side
    2,990.64x = 12,158,032.69
  5. Step 5: Solve for x
    x = 12,158,032.69/2,990.64
  6. Step 6: Final answer
    x = 4,065.36

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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.