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Finding the Fourth Proportional to 2,795.94, 4,187.43 and 2,698.74

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Solution

The fourth proportional to 2,795.94, 4,187.43 and 2,698.74 is: 4,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.94 : 4,187.43 = 2,698.74 : x
  2. Step 2: Convert to fraction form
    2,795.94/4,187.43 = 2,698.74/x
  3. Step 3: Cross multiply
    2,795.94x = 4,187.43 × 2,698.74
  4. Step 4: Simplify right side
    2,795.94x = 11,300,784.84
  5. Step 5: Solve for x
    x = 11,300,784.84/2,795.94
  6. Step 6: Final answer
    x = 4,041.86

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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.