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Finding the Fourth Proportional to 1,627.35, 2,245.35 and 997.91

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Solution

The fourth proportional to 1,627.35, 2,245.35 and 997.91 is: 1,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.35 : 2,245.35 = 997.91 : x
  2. Step 2: Convert to fraction form
    1,627.35/2,245.35 = 997.91/x
  3. Step 3: Cross multiply
    1,627.35x = 2,245.35 × 997.91
  4. Step 4: Simplify right side
    1,627.35x = 2,240,657.22
  5. Step 5: Solve for x
    x = 2,240,657.22/1,627.35
  6. Step 6: Final answer
    x = 1,376.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.