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Finding the Fourth Proportional to 2,283.69, 3,433.69 and 2,103.26

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Solution

The fourth proportional to 2,283.69, 3,433.69 and 2,103.26 is: 3,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.69 : 3,433.69 = 2,103.26 : x
  2. Step 2: Convert to fraction form
    2,283.69/3,433.69 = 2,103.26/x
  3. Step 3: Cross multiply
    2,283.69x = 3,433.69 × 2,103.26
  4. Step 4: Simplify right side
    2,283.69x = 7,221,946.16
  5. Step 5: Solve for x
    x = 7,221,946.16/2,283.69
  6. Step 6: Final answer
    x = 3,162.40

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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.