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Finding the Fourth Proportional to 2,295.23, 3,167.49 and 1,300.49

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Solution

The fourth proportional to 2,295.23, 3,167.49 and 1,300.49 is: 1,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.23 : 3,167.49 = 1,300.49 : x
  2. Step 2: Convert to fraction form
    2,295.23/3,167.49 = 1,300.49/x
  3. Step 3: Cross multiply
    2,295.23x = 3,167.49 × 1,300.49
  4. Step 4: Simplify right side
    2,295.23x = 4,119,289.07
  5. Step 5: Solve for x
    x = 4,119,289.07/2,295.23
  6. Step 6: Final answer
    x = 1,794.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.