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Finding the Fourth Proportional to 3,188.50, 4,777.14 and 1,954.06

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Solution

The fourth proportional to 3,188.50, 4,777.14 and 1,954.06 is: 2,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.50 : 4,777.14 = 1,954.06 : x
  2. Step 2: Convert to fraction form
    3,188.50/4,777.14 = 1,954.06/x
  3. Step 3: Cross multiply
    3,188.50x = 4,777.14 × 1,954.06
  4. Step 4: Simplify right side
    3,188.50x = 9,334,818.19
  5. Step 5: Solve for x
    x = 9,334,818.19/3,188.50
  6. Step 6: Final answer
    x = 2,927.65

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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.