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Finding the Fourth Proportional to 1,608.24, 2,409.84 and 914.88

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Solution

The fourth proportional to 1,608.24, 2,409.84 and 914.88 is: 1,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.24 : 2,409.84 = 914.88 : x
  2. Step 2: Convert to fraction form
    1,608.24/2,409.84 = 914.88/x
  3. Step 3: Cross multiply
    1,608.24x = 2,409.84 × 914.88
  4. Step 4: Simplify right side
    1,608.24x = 2,204,714.42
  5. Step 5: Solve for x
    x = 2,204,714.42/1,608.24
  6. Step 6: Final answer
    x = 1,370.89

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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.