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Finding the Fourth Proportional to 1,795, 2,693.46 and 1,363

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Solution

The fourth proportional to 1,795, 2,693.46 and 1,363 is: 2,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795 : 2,693.46 = 1,363 : x
  2. Step 2: Convert to fraction form
    1,795/2,693.46 = 1,363/x
  3. Step 3: Cross multiply
    1,795x = 2,693.46 × 1,363
  4. Step 4: Simplify right side
    1,795x = 3,671,185.98
  5. Step 5: Solve for x
    x = 3,671,185.98/1,795
  6. Step 6: Final answer
    x = 2,045.23

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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.