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Finding the Fourth Proportional to 3,069.50, 4,600.67 and 1,314.01

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Solution

The fourth proportional to 3,069.50, 4,600.67 and 1,314.01 is: 1,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.50 : 4,600.67 = 1,314.01 : x
  2. Step 2: Convert to fraction form
    3,069.50/4,600.67 = 1,314.01/x
  3. Step 3: Cross multiply
    3,069.50x = 4,600.67 × 1,314.01
  4. Step 4: Simplify right side
    3,069.50x = 6,045,296.81
  5. Step 5: Solve for x
    x = 6,045,296.81/3,069.50
  6. Step 6: Final answer
    x = 1,969.47

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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.