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Finding the Fourth Proportional to 3,261.94, 4,894.74 and 1,314.30

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Solution

The fourth proportional to 3,261.94, 4,894.74 and 1,314.30 is: 1,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.94 : 4,894.74 = 1,314.30 : x
  2. Step 2: Convert to fraction form
    3,261.94/4,894.74 = 1,314.30/x
  3. Step 3: Cross multiply
    3,261.94x = 4,894.74 × 1,314.30
  4. Step 4: Simplify right side
    3,261.94x = 6,433,133.50
  5. Step 5: Solve for x
    x = 6,433,133.50/3,261.94
  6. Step 6: Final answer
    x = 1,972.18

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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.