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Finding the Fourth Proportional to 3,316.77, 4,577.07 and 1,824.65

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Solution

The fourth proportional to 3,316.77, 4,577.07 and 1,824.65 is: 2,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.77 : 4,577.07 = 1,824.65 : x
  2. Step 2: Convert to fraction form
    3,316.77/4,577.07 = 1,824.65/x
  3. Step 3: Cross multiply
    3,316.77x = 4,577.07 × 1,824.65
  4. Step 4: Simplify right side
    3,316.77x = 8,351,567.38
  5. Step 5: Solve for x
    x = 8,351,567.38/3,316.77
  6. Step 6: Final answer
    x = 2,517.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.