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Finding the Fourth Proportional to 3,280.23, 4,920.27 and 815.01

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Solution

The fourth proportional to 3,280.23, 4,920.27 and 815.01 is: 1,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.23 : 4,920.27 = 815.01 : x
  2. Step 2: Convert to fraction form
    3,280.23/4,920.27 = 815.01/x
  3. Step 3: Cross multiply
    3,280.23x = 4,920.27 × 815.01
  4. Step 4: Simplify right side
    3,280.23x = 4,010,069.25
  5. Step 5: Solve for x
    x = 4,010,069.25/3,280.23
  6. Step 6: Final answer
    x = 1,222.50

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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.