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Finding the Fourth Proportional to 1,647.07, 2,470.75 and 866.57

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Solution

The fourth proportional to 1,647.07, 2,470.75 and 866.57 is: 1,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.07 : 2,470.75 = 866.57 : x
  2. Step 2: Convert to fraction form
    1,647.07/2,470.75 = 866.57/x
  3. Step 3: Cross multiply
    1,647.07x = 2,470.75 × 866.57
  4. Step 4: Simplify right side
    1,647.07x = 2,141,063.31
  5. Step 5: Solve for x
    x = 2,141,063.31/1,647.07
  6. Step 6: Final answer
    x = 1,299.92

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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.