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Finding the Fourth Proportional to 1,608.68, 2,409.91 and 1,059.21

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Solution

The fourth proportional to 1,608.68, 2,409.91 and 1,059.21 is: 1,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.68 : 2,409.91 = 1,059.21 : x
  2. Step 2: Convert to fraction form
    1,608.68/2,409.91 = 1,059.21/x
  3. Step 3: Cross multiply
    1,608.68x = 2,409.91 × 1,059.21
  4. Step 4: Simplify right side
    1,608.68x = 2,552,598.12
  5. Step 5: Solve for x
    x = 2,552,598.12/1,608.68
  6. Step 6: Final answer
    x = 1,586.76

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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.