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Finding the Fourth Proportional to 2,483.27, 3,426.74 and 1,364.25

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Solution

The fourth proportional to 2,483.27, 3,426.74 and 1,364.25 is: 1,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.27 : 3,426.74 = 1,364.25 : x
  2. Step 2: Convert to fraction form
    2,483.27/3,426.74 = 1,364.25/x
  3. Step 3: Cross multiply
    2,483.27x = 3,426.74 × 1,364.25
  4. Step 4: Simplify right side
    2,483.27x = 4,674,923.22
  5. Step 5: Solve for x
    x = 4,674,923.22/2,483.27
  6. Step 6: Final answer
    x = 1,882.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.