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Finding the Fourth Proportional to 2,990.32, 4,486.93 and 2,118.42

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Solution

The fourth proportional to 2,990.32, 4,486.93 and 2,118.42 is: 3,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.32 : 4,486.93 = 2,118.42 : x
  2. Step 2: Convert to fraction form
    2,990.32/4,486.93 = 2,118.42/x
  3. Step 3: Cross multiply
    2,990.32x = 4,486.93 × 2,118.42
  4. Step 4: Simplify right side
    2,990.32x = 9,505,196.95
  5. Step 5: Solve for x
    x = 9,505,196.95/2,990.32
  6. Step 6: Final answer
    x = 3,178.66

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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.