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Finding the Fourth Proportional to 2,040.70, 3,059.16 and 945.94

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Solution

The fourth proportional to 2,040.70, 3,059.16 and 945.94 is: 1,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.70 : 3,059.16 = 945.94 : x
  2. Step 2: Convert to fraction form
    2,040.70/3,059.16 = 945.94/x
  3. Step 3: Cross multiply
    2,040.70x = 3,059.16 × 945.94
  4. Step 4: Simplify right side
    2,040.70x = 2,893,781.81
  5. Step 5: Solve for x
    x = 2,893,781.81/2,040.70
  6. Step 6: Final answer
    x = 1,418.03

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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.