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Finding the Fourth Proportional to 3,323.42, 4,985.07 and 1,946.36

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Solution

The fourth proportional to 3,323.42, 4,985.07 and 1,946.36 is: 2,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.42 : 4,985.07 = 1,946.36 : x
  2. Step 2: Convert to fraction form
    3,323.42/4,985.07 = 1,946.36/x
  3. Step 3: Cross multiply
    3,323.42x = 4,985.07 × 1,946.36
  4. Step 4: Simplify right side
    3,323.42x = 9,702,740.85
  5. Step 5: Solve for x
    x = 9,702,740.85/3,323.42
  6. Step 6: Final answer
    x = 2,919.50

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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.