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Finding the Fourth Proportional to 1,894.86, 2,848.37 and 1,797.66

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Solution

The fourth proportional to 1,894.86, 2,848.37 and 1,797.66 is: 2,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.86 : 2,848.37 = 1,797.66 : x
  2. Step 2: Convert to fraction form
    1,894.86/2,848.37 = 1,797.66/x
  3. Step 3: Cross multiply
    1,894.86x = 2,848.37 × 1,797.66
  4. Step 4: Simplify right side
    1,894.86x = 5,120,391.83
  5. Step 5: Solve for x
    x = 5,120,391.83/1,894.86
  6. Step 6: Final answer
    x = 2,702.25

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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.