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Finding the Fourth Proportional to 1,591.81, 2,383.48 and 859.12

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Solution

The fourth proportional to 1,591.81, 2,383.48 and 859.12 is: 1,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.81 : 2,383.48 = 859.12 : x
  2. Step 2: Convert to fraction form
    1,591.81/2,383.48 = 859.12/x
  3. Step 3: Cross multiply
    1,591.81x = 2,383.48 × 859.12
  4. Step 4: Simplify right side
    1,591.81x = 2,047,695.34
  5. Step 5: Solve for x
    x = 2,047,695.34/1,591.81
  6. Step 6: Final answer
    x = 1,286.39

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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.