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Finding the Fourth Proportional to 2,829.94, 4,245.95 and 2,602.37

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Solution

The fourth proportional to 2,829.94, 4,245.95 and 2,602.37 is: 3,904.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.94 : 4,245.95 = 2,602.37 : x
  2. Step 2: Convert to fraction form
    2,829.94/4,245.95 = 2,602.37/x
  3. Step 3: Cross multiply
    2,829.94x = 4,245.95 × 2,602.37
  4. Step 4: Simplify right side
    2,829.94x = 11,049,550.02
  5. Step 5: Solve for x
    x = 11,049,550.02/2,829.94
  6. Step 6: Final answer
    x = 3,904.52

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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.