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Finding the Fourth Proportional to 1,809.75, 2,497.46 and 981.75

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Solution

The fourth proportional to 1,809.75, 2,497.46 and 981.75 is: 1,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.75 : 2,497.46 = 981.75 : x
  2. Step 2: Convert to fraction form
    1,809.75/2,497.46 = 981.75/x
  3. Step 3: Cross multiply
    1,809.75x = 2,497.46 × 981.75
  4. Step 4: Simplify right side
    1,809.75x = 2,451,876.45
  5. Step 5: Solve for x
    x = 2,451,876.45/1,809.75
  6. Step 6: Final answer
    x = 1,354.82

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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.