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Finding the Fourth Proportional to 2,295.48, 3,167.48 and 1,705

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Solution

The fourth proportional to 2,295.48, 3,167.48 and 1,705 is: 2,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.48 : 3,167.48 = 1,705 : x
  2. Step 2: Convert to fraction form
    2,295.48/3,167.48 = 1,705/x
  3. Step 3: Cross multiply
    2,295.48x = 3,167.48 × 1,705
  4. Step 4: Simplify right side
    2,295.48x = 5,400,553.40
  5. Step 5: Solve for x
    x = 5,400,553.40/2,295.48
  6. Step 6: Final answer
    x = 2,352.69

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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.