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Finding the Fourth Proportional to 2,967.25, 4,094.76 and 2,118.07

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Solution

The fourth proportional to 2,967.25, 4,094.76 and 2,118.07 is: 2,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.25 : 4,094.76 = 2,118.07 : x
  2. Step 2: Convert to fraction form
    2,967.25/4,094.76 = 2,118.07/x
  3. Step 3: Cross multiply
    2,967.25x = 4,094.76 × 2,118.07
  4. Step 4: Simplify right side
    2,967.25x = 8,672,988.31
  5. Step 5: Solve for x
    x = 8,672,988.31/2,967.25
  6. Step 6: Final answer
    x = 2,922.90

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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.