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Finding the Fourth Proportional to 3,019.98, 4,529.01 and 967.50

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Solution

The fourth proportional to 3,019.98, 4,529.01 and 967.50 is: 1,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.98 : 4,529.01 = 967.50 : x
  2. Step 2: Convert to fraction form
    3,019.98/4,529.01 = 967.50/x
  3. Step 3: Cross multiply
    3,019.98x = 4,529.01 × 967.50
  4. Step 4: Simplify right side
    3,019.98x = 4,381,817.18
  5. Step 5: Solve for x
    x = 4,381,817.18/3,019.98
  6. Step 6: Final answer
    x = 1,450.94

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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.