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Finding the Fourth Proportional to 3,023.16, 4,535.06 and 1,483

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Solution

The fourth proportional to 3,023.16, 4,535.06 and 1,483 is: 2,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.16 : 4,535.06 = 1,483 : x
  2. Step 2: Convert to fraction form
    3,023.16/4,535.06 = 1,483/x
  3. Step 3: Cross multiply
    3,023.16x = 4,535.06 × 1,483
  4. Step 4: Simplify right side
    3,023.16x = 6,725,493.98
  5. Step 5: Solve for x
    x = 6,725,493.98/3,023.16
  6. Step 6: Final answer
    x = 2,224.66

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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.