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Finding the Fourth Proportional to 2,314.80, 3,185.32 and 2,094

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Solution

The fourth proportional to 2,314.80, 3,185.32 and 2,094 is: 2,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.80 : 3,185.32 = 2,094 : x
  2. Step 2: Convert to fraction form
    2,314.80/3,185.32 = 2,094/x
  3. Step 3: Cross multiply
    2,314.80x = 3,185.32 × 2,094
  4. Step 4: Simplify right side
    2,314.80x = 6,670,060.08
  5. Step 5: Solve for x
    x = 6,670,060.08/2,314.80
  6. Step 6: Final answer
    x = 2,881.48

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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.