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Finding the Fourth Proportional to 1,759.22, 2,643.62 and 938.08

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Solution

The fourth proportional to 1,759.22, 2,643.62 and 938.08 is: 1,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.22 : 2,643.62 = 938.08 : x
  2. Step 2: Convert to fraction form
    1,759.22/2,643.62 = 938.08/x
  3. Step 3: Cross multiply
    1,759.22x = 2,643.62 × 938.08
  4. Step 4: Simplify right side
    1,759.22x = 2,479,927.05
  5. Step 5: Solve for x
    x = 2,479,927.05/1,759.22
  6. Step 6: Final answer
    x = 1,409.67

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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.