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Finding the Fourth Proportional to 2,984.22, 4,477.76 and 1,230.50

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Solution

The fourth proportional to 2,984.22, 4,477.76 and 1,230.50 is: 1,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.22 : 4,477.76 = 1,230.50 : x
  2. Step 2: Convert to fraction form
    2,984.22/4,477.76 = 1,230.50/x
  3. Step 3: Cross multiply
    2,984.22x = 4,477.76 × 1,230.50
  4. Step 4: Simplify right side
    2,984.22x = 5,509,883.68
  5. Step 5: Solve for x
    x = 5,509,883.68/2,984.22
  6. Step 6: Final answer
    x = 1,846.34

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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.