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Finding the Fourth Proportional to 1,584.37, 2,376.69 and 891.01

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Solution

The fourth proportional to 1,584.37, 2,376.69 and 891.01 is: 1,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.37 : 2,376.69 = 891.01 : x
  2. Step 2: Convert to fraction form
    1,584.37/2,376.69 = 891.01/x
  3. Step 3: Cross multiply
    1,584.37x = 2,376.69 × 891.01
  4. Step 4: Simplify right side
    1,584.37x = 2,117,654.56
  5. Step 5: Solve for x
    x = 2,117,654.56/1,584.37
  6. Step 6: Final answer
    x = 1,336.59

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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.