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Finding the Fourth Proportional to 2,302.85, 3,453.42 and 986.57

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Solution

The fourth proportional to 2,302.85, 3,453.42 and 986.57 is: 1,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.85 : 3,453.42 = 986.57 : x
  2. Step 2: Convert to fraction form
    2,302.85/3,453.42 = 986.57/x
  3. Step 3: Cross multiply
    2,302.85x = 3,453.42 × 986.57
  4. Step 4: Simplify right side
    2,302.85x = 3,407,040.57
  5. Step 5: Solve for x
    x = 3,407,040.57/2,302.85
  6. Step 6: Final answer
    x = 1,479.49

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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.