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Finding the Fourth Proportional to 3,264.40, 4,894.42 and 1,684.10

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Solution

The fourth proportional to 3,264.40, 4,894.42 and 1,684.10 is: 2,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.40 : 4,894.42 = 1,684.10 : x
  2. Step 2: Convert to fraction form
    3,264.40/4,894.42 = 1,684.10/x
  3. Step 3: Cross multiply
    3,264.40x = 4,894.42 × 1,684.10
  4. Step 4: Simplify right side
    3,264.40x = 8,242,692.72
  5. Step 5: Solve for x
    x = 8,242,692.72/3,264.40
  6. Step 6: Final answer
    x = 2,525.03

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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.