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Finding the Fourth Proportional to 2,754.32, 3,801.96 and 1,823.12

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Solution

The fourth proportional to 2,754.32, 3,801.96 and 1,823.12 is: 2,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.32 : 3,801.96 = 1,823.12 : x
  2. Step 2: Convert to fraction form
    2,754.32/3,801.96 = 1,823.12/x
  3. Step 3: Cross multiply
    2,754.32x = 3,801.96 × 1,823.12
  4. Step 4: Simplify right side
    2,754.32x = 6,931,429.32
  5. Step 5: Solve for x
    x = 6,931,429.32/2,754.32
  6. Step 6: Final answer
    x = 2,516.57

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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.