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Finding the Fourth Proportional to 2,683.64, 4,025.64 and 735.68

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Solution

The fourth proportional to 2,683.64, 4,025.64 and 735.68 is: 1,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.64 : 4,025.64 = 735.68 : x
  2. Step 2: Convert to fraction form
    2,683.64/4,025.64 = 735.68/x
  3. Step 3: Cross multiply
    2,683.64x = 4,025.64 × 735.68
  4. Step 4: Simplify right side
    2,683.64x = 2,961,582.84
  5. Step 5: Solve for x
    x = 2,961,582.84/2,683.64
  6. Step 6: Final answer
    x = 1,103.57

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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.