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Finding the Fourth Proportional to 3,323.96, 4,977.30 and 2,024.60

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Solution

The fourth proportional to 3,323.96, 4,977.30 and 2,024.60 is: 3,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.96 : 4,977.30 = 2,024.60 : x
  2. Step 2: Convert to fraction form
    3,323.96/4,977.30 = 2,024.60/x
  3. Step 3: Cross multiply
    3,323.96x = 4,977.30 × 2,024.60
  4. Step 4: Simplify right side
    3,323.96x = 10,077,041.58
  5. Step 5: Solve for x
    x = 10,077,041.58/3,323.96
  6. Step 6: Final answer
    x = 3,031.64

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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.