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Finding the Fourth Proportional to 2,894.70, 3,994.58 and 1,568.38

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Solution

The fourth proportional to 2,894.70, 3,994.58 and 1,568.38 is: 2,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.70 : 3,994.58 = 1,568.38 : x
  2. Step 2: Convert to fraction form
    2,894.70/3,994.58 = 1,568.38/x
  3. Step 3: Cross multiply
    2,894.70x = 3,994.58 × 1,568.38
  4. Step 4: Simplify right side
    2,894.70x = 6,264,997.34
  5. Step 5: Solve for x
    x = 6,264,997.34/2,894.70
  6. Step 6: Final answer
    x = 2,164.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.