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Finding the Fourth Proportional to 3,408.64, 5,114.50 and 1,653.32

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Solution

The fourth proportional to 3,408.64, 5,114.50 and 1,653.32 is: 2,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.64 : 5,114.50 = 1,653.32 : x
  2. Step 2: Convert to fraction form
    3,408.64/5,114.50 = 1,653.32/x
  3. Step 3: Cross multiply
    3,408.64x = 5,114.50 × 1,653.32
  4. Step 4: Simplify right side
    3,408.64x = 8,455,916.43
  5. Step 5: Solve for x
    x = 8,455,916.43/3,408.64
  6. Step 6: Final answer
    x = 2,480.73

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1.5x scale

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.