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Finding the Fourth Proportional to 3,223.02, 4,830.84 and 1,488

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Solution

The fourth proportional to 3,223.02, 4,830.84 and 1,488 is: 2,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.02 : 4,830.84 = 1,488 : x
  2. Step 2: Convert to fraction form
    3,223.02/4,830.84 = 1,488/x
  3. Step 3: Cross multiply
    3,223.02x = 4,830.84 × 1,488
  4. Step 4: Simplify right side
    3,223.02x = 7,188,289.92
  5. Step 5: Solve for x
    x = 7,188,289.92/3,223.02
  6. Step 6: Final answer
    x = 2,230.30

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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.