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Finding the Fourth Proportional to 2,378.46, 3,566.97 and 917.34

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Solution

The fourth proportional to 2,378.46, 3,566.97 and 917.34 is: 1,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.46 : 3,566.97 = 917.34 : x
  2. Step 2: Convert to fraction form
    2,378.46/3,566.97 = 917.34/x
  3. Step 3: Cross multiply
    2,378.46x = 3,566.97 × 917.34
  4. Step 4: Simplify right side
    2,378.46x = 3,272,124.26
  5. Step 5: Solve for x
    x = 3,272,124.26/2,378.46
  6. Step 6: Final answer
    x = 1,375.73

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1.5x scale

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.