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Finding the Fourth Proportional to 2,605.98, 3,597.23 and 1,722.98

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Solution

The fourth proportional to 2,605.98, 3,597.23 and 1,722.98 is: 2,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.98 : 3,597.23 = 1,722.98 : x
  2. Step 2: Convert to fraction form
    2,605.98/3,597.23 = 1,722.98/x
  3. Step 3: Cross multiply
    2,605.98x = 3,597.23 × 1,722.98
  4. Step 4: Simplify right side
    2,605.98x = 6,197,968.65
  5. Step 5: Solve for x
    x = 6,197,968.65/2,605.98
  6. Step 6: Final answer
    x = 2,378.36

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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.