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Finding the Fourth Proportional to 2,994.54, 4,491.81 and 1,146.23

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Solution

The fourth proportional to 2,994.54, 4,491.81 and 1,146.23 is: 1,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.54 : 4,491.81 = 1,146.23 : x
  2. Step 2: Convert to fraction form
    2,994.54/4,491.81 = 1,146.23/x
  3. Step 3: Cross multiply
    2,994.54x = 4,491.81 × 1,146.23
  4. Step 4: Simplify right side
    2,994.54x = 5,148,624.92
  5. Step 5: Solve for x
    x = 5,148,624.92/2,994.54
  6. Step 6: Final answer
    x = 1,719.34

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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.