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Finding the Fourth Proportional to 3,325.95, 4,992 and 1,683.66

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Solution

The fourth proportional to 3,325.95, 4,992 and 1,683.66 is: 2,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,325.95 : 4,992 = 1,683.66 : x
  2. Step 2: Convert to fraction form
    3,325.95/4,992 = 1,683.66/x
  3. Step 3: Cross multiply
    3,325.95x = 4,992 × 1,683.66
  4. Step 4: Simplify right side
    3,325.95x = 8,404,830.72
  5. Step 5: Solve for x
    x = 8,404,830.72/3,325.95
  6. Step 6: Final answer
    x = 2,527.05

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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.