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Finding the Fourth Proportional to 2,994.94, 4,487.55 and 2,125

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Solution

The fourth proportional to 2,994.94, 4,487.55 and 2,125 is: 3,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.94 : 4,487.55 = 2,125 : x
  2. Step 2: Convert to fraction form
    2,994.94/4,487.55 = 2,125/x
  3. Step 3: Cross multiply
    2,994.94x = 4,487.55 × 2,125
  4. Step 4: Simplify right side
    2,994.94x = 9,536,043.75
  5. Step 5: Solve for x
    x = 9,536,043.75/2,994.94
  6. Step 6: Final answer
    x = 3,184.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.