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Finding the Fourth Proportional to 2,533.81, 3,798.40 and 889.46

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Solution

The fourth proportional to 2,533.81, 3,798.40 and 889.46 is: 1,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.81 : 3,798.40 = 889.46 : x
  2. Step 2: Convert to fraction form
    2,533.81/3,798.40 = 889.46/x
  3. Step 3: Cross multiply
    2,533.81x = 3,798.40 × 889.46
  4. Step 4: Simplify right side
    2,533.81x = 3,378,520.42
  5. Step 5: Solve for x
    x = 3,378,520.42/2,533.81
  6. Step 6: Final answer
    x = 1,333.38

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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.