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Finding the Fourth Proportional to 2,994, 4,491.38 and 914.07

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Solution

The fourth proportional to 2,994, 4,491.38 and 914.07 is: 1,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994 : 4,491.38 = 914.07 : x
  2. Step 2: Convert to fraction form
    2,994/4,491.38 = 914.07/x
  3. Step 3: Cross multiply
    2,994x = 4,491.38 × 914.07
  4. Step 4: Simplify right side
    2,994x = 4,105,431.15
  5. Step 5: Solve for x
    x = 4,105,431.15/2,994
  6. Step 6: Final answer
    x = 1,371.22

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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.