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Finding the Fourth Proportional to 1,680.03, 2,318.09 and 981.09

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Solution

The fourth proportional to 1,680.03, 2,318.09 and 981.09 is: 1,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.03 : 2,318.09 = 981.09 : x
  2. Step 2: Convert to fraction form
    1,680.03/2,318.09 = 981.09/x
  3. Step 3: Cross multiply
    1,680.03x = 2,318.09 × 981.09
  4. Step 4: Simplify right side
    1,680.03x = 2,274,250.01
  5. Step 5: Solve for x
    x = 2,274,250.01/1,680.03
  6. Step 6: Final answer
    x = 1,353.70

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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.