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Finding the Fourth Proportional to 2,118.02, 2,922.90 and 1,233.78

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Solution

The fourth proportional to 2,118.02, 2,922.90 and 1,233.78 is: 1,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.02 : 2,922.90 = 1,233.78 : x
  2. Step 2: Convert to fraction form
    2,118.02/2,922.90 = 1,233.78/x
  3. Step 3: Cross multiply
    2,118.02x = 2,922.90 × 1,233.78
  4. Step 4: Simplify right side
    2,118.02x = 3,606,215.56
  5. Step 5: Solve for x
    x = 3,606,215.56/2,118.02
  6. Step 6: Final answer
    x = 1,702.64

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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.