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Finding the Fourth Proportional to 2,080.40, 3,119.54 and 693.23

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Solution

The fourth proportional to 2,080.40, 3,119.54 and 693.23 is: 1,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.40 : 3,119.54 = 693.23 : x
  2. Step 2: Convert to fraction form
    2,080.40/3,119.54 = 693.23/x
  3. Step 3: Cross multiply
    2,080.40x = 3,119.54 × 693.23
  4. Step 4: Simplify right side
    2,080.40x = 2,162,568.25
  5. Step 5: Solve for x
    x = 2,162,568.25/2,080.40
  6. Step 6: Final answer
    x = 1,039.50

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Double scale
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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.