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Finding the Fourth Proportional to 2,775.09, 3,830.45 and 1,596.99

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Solution

The fourth proportional to 2,775.09, 3,830.45 and 1,596.99 is: 2,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.09 : 3,830.45 = 1,596.99 : x
  2. Step 2: Convert to fraction form
    2,775.09/3,830.45 = 1,596.99/x
  3. Step 3: Cross multiply
    2,775.09x = 3,830.45 × 1,596.99
  4. Step 4: Simplify right side
    2,775.09x = 6,117,182.36
  5. Step 5: Solve for x
    x = 6,117,182.36/2,775.09
  6. Step 6: Final answer
    x = 2,204.32

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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.