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Finding the Fourth Proportional to 2,844.30, 3,924.02 and 2,100.02

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Solution

The fourth proportional to 2,844.30, 3,924.02 and 2,100.02 is: 2,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.30 : 3,924.02 = 2,100.02 : x
  2. Step 2: Convert to fraction form
    2,844.30/3,924.02 = 2,100.02/x
  3. Step 3: Cross multiply
    2,844.30x = 3,924.02 × 2,100.02
  4. Step 4: Simplify right side
    2,844.30x = 8,240,520.48
  5. Step 5: Solve for x
    x = 8,240,520.48/2,844.30
  6. Step 6: Final answer
    x = 2,897.21

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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.