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Finding the Fourth Proportional to 1,613.50, 2,226.92 and 914.88

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Solution

The fourth proportional to 1,613.50, 2,226.92 and 914.88 is: 1,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.50 : 2,226.92 = 914.88 : x
  2. Step 2: Convert to fraction form
    1,613.50/2,226.92 = 914.88/x
  3. Step 3: Cross multiply
    1,613.50x = 2,226.92 × 914.88
  4. Step 4: Simplify right side
    1,613.50x = 2,037,364.57
  5. Step 5: Solve for x
    x = 2,037,364.57/1,613.50
  6. Step 6: Final answer
    x = 1,262.70

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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.