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Finding the Fourth Proportional to 2,009.46, 3,014.81 and 693.24

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Solution

The fourth proportional to 2,009.46, 3,014.81 and 693.24 is: 1,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.46 : 3,014.81 = 693.24 : x
  2. Step 2: Convert to fraction form
    2,009.46/3,014.81 = 693.24/x
  3. Step 3: Cross multiply
    2,009.46x = 3,014.81 × 693.24
  4. Step 4: Simplify right side
    2,009.46x = 2,089,983.42
  5. Step 5: Solve for x
    x = 2,089,983.42/2,009.46
  6. Step 6: Final answer
    x = 1,040.07

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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.