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Finding the Fourth Proportional to 2,015.81, 3,020.64 and 845.18

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Solution

The fourth proportional to 2,015.81, 3,020.64 and 845.18 is: 1,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.81 : 3,020.64 = 845.18 : x
  2. Step 2: Convert to fraction form
    2,015.81/3,020.64 = 845.18/x
  3. Step 3: Cross multiply
    2,015.81x = 3,020.64 × 845.18
  4. Step 4: Simplify right side
    2,015.81x = 2,552,965.19
  5. Step 5: Solve for x
    x = 2,552,965.19/2,015.81
  6. Step 6: Final answer
    x = 1,266.47

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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.