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Finding the Fourth Proportional to 3,323.70, 4,985.43 and 1,271.70

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Solution

The fourth proportional to 3,323.70, 4,985.43 and 1,271.70 is: 1,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.70 : 4,985.43 = 1,271.70 : x
  2. Step 2: Convert to fraction form
    3,323.70/4,985.43 = 1,271.70/x
  3. Step 3: Cross multiply
    3,323.70x = 4,985.43 × 1,271.70
  4. Step 4: Simplify right side
    3,323.70x = 6,339,971.33
  5. Step 5: Solve for x
    x = 6,339,971.33/3,323.70
  6. Step 6: Final answer
    x = 1,907.50

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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.