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Finding the Fourth Proportional to 2,605.98, 3,596.71 and 2,519.48

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Solution

The fourth proportional to 2,605.98, 3,596.71 and 2,519.48 is: 3,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.98 : 3,596.71 = 2,519.48 : x
  2. Step 2: Convert to fraction form
    2,605.98/3,596.71 = 2,519.48/x
  3. Step 3: Cross multiply
    2,605.98x = 3,596.71 × 2,519.48
  4. Step 4: Simplify right side
    2,605.98x = 9,061,838.91
  5. Step 5: Solve for x
    x = 9,061,838.91/2,605.98
  6. Step 6: Final answer
    x = 3,477.32

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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.