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Finding the Fourth Proportional to 1,809.49, 2,714.85 and 769.45

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Solution

The fourth proportional to 1,809.49, 2,714.85 and 769.45 is: 1,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.49 : 2,714.85 = 769.45 : x
  2. Step 2: Convert to fraction form
    1,809.49/2,714.85 = 769.45/x
  3. Step 3: Cross multiply
    1,809.49x = 2,714.85 × 769.45
  4. Step 4: Simplify right side
    1,809.49x = 2,088,941.33
  5. Step 5: Solve for x
    x = 2,088,941.33/1,809.49
  6. Step 6: Final answer
    x = 1,154.44

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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.