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Finding the Fourth Proportional to 2,191.07, 3,285.50 and 957.93

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Solution

The fourth proportional to 2,191.07, 3,285.50 and 957.93 is: 1,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.07 : 3,285.50 = 957.93 : x
  2. Step 2: Convert to fraction form
    2,191.07/3,285.50 = 957.93/x
  3. Step 3: Cross multiply
    2,191.07x = 3,285.50 × 957.93
  4. Step 4: Simplify right side
    2,191.07x = 3,147,274.23
  5. Step 5: Solve for x
    x = 3,147,274.23/2,191.07
  6. Step 6: Final answer
    x = 1,436.41

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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.