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Finding the Fourth Proportional to 3,270.69, 4,907.36 and 1,323.05

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Solution

The fourth proportional to 3,270.69, 4,907.36 and 1,323.05 is: 1,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.69 : 4,907.36 = 1,323.05 : x
  2. Step 2: Convert to fraction form
    3,270.69/4,907.36 = 1,323.05/x
  3. Step 3: Cross multiply
    3,270.69x = 4,907.36 × 1,323.05
  4. Step 4: Simplify right side
    3,270.69x = 6,492,651.50
  5. Step 5: Solve for x
    x = 6,492,651.50/3,270.69
  6. Step 6: Final answer
    x = 1,985.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.