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Finding the Fourth Proportional to 1,581, 2,371.44 and 656.30

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Solution

The fourth proportional to 1,581, 2,371.44 and 656.30 is: 984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581 : 2,371.44 = 656.30 : x
  2. Step 2: Convert to fraction form
    1,581/2,371.44 = 656.30/x
  3. Step 3: Cross multiply
    1,581x = 2,371.44 × 656.30
  4. Step 4: Simplify right side
    1,581x = 1,556,376.07
  5. Step 5: Solve for x
    x = 1,556,376.07/1,581
  6. Step 6: Final answer
    x = 984.43

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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.