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Finding the Fourth Proportional to 2,993.74, 4,491.51 and 1,533.91

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Solution

The fourth proportional to 2,993.74, 4,491.51 and 1,533.91 is: 2,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.74 : 4,491.51 = 1,533.91 : x
  2. Step 2: Convert to fraction form
    2,993.74/4,491.51 = 1,533.91/x
  3. Step 3: Cross multiply
    2,993.74x = 4,491.51 × 1,533.91
  4. Step 4: Simplify right side
    2,993.74x = 6,889,572.10
  5. Step 5: Solve for x
    x = 6,889,572.10/2,993.74
  6. Step 6: Final answer
    x = 2,301.33

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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.