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Finding the Fourth Proportional to 2,835.64, 4,253.46 and 889.48

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Solution

The fourth proportional to 2,835.64, 4,253.46 and 889.48 is: 1,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.64 : 4,253.46 = 889.48 : x
  2. Step 2: Convert to fraction form
    2,835.64/4,253.46 = 889.48/x
  3. Step 3: Cross multiply
    2,835.64x = 4,253.46 × 889.48
  4. Step 4: Simplify right side
    2,835.64x = 3,783,367.60
  5. Step 5: Solve for x
    x = 3,783,367.60/2,835.64
  6. Step 6: Final answer
    x = 1,334.22

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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.