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Finding the Fourth Proportional to 2,803.27, 3,867.29 and 1,683.56

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Solution

The fourth proportional to 2,803.27, 3,867.29 and 1,683.56 is: 2,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.27 : 3,867.29 = 1,683.56 : x
  2. Step 2: Convert to fraction form
    2,803.27/3,867.29 = 1,683.56/x
  3. Step 3: Cross multiply
    2,803.27x = 3,867.29 × 1,683.56
  4. Step 4: Simplify right side
    2,803.27x = 6,510,804.14
  5. Step 5: Solve for x
    x = 6,510,804.14/2,803.27
  6. Step 6: Final answer
    x = 2,322.57

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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.