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Finding the Fourth Proportional to 2,774.84, 3,829.84 and 1,596.72

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Solution

The fourth proportional to 2,774.84, 3,829.84 and 1,596.72 is: 2,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.84 : 3,829.84 = 1,596.72 : x
  2. Step 2: Convert to fraction form
    2,774.84/3,829.84 = 1,596.72/x
  3. Step 3: Cross multiply
    2,774.84x = 3,829.84 × 1,596.72
  4. Step 4: Simplify right side
    2,774.84x = 6,115,182.12
  5. Step 5: Solve for x
    x = 6,115,182.12/2,774.84
  6. Step 6: Final answer
    x = 2,203.80

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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.