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Finding the Fourth Proportional to 2,554.15, 3,828.03 and 1,384.15

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Solution

The fourth proportional to 2,554.15, 3,828.03 and 1,384.15 is: 2,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.15 : 3,828.03 = 1,384.15 : x
  2. Step 2: Convert to fraction form
    2,554.15/3,828.03 = 1,384.15/x
  3. Step 3: Cross multiply
    2,554.15x = 3,828.03 × 1,384.15
  4. Step 4: Simplify right side
    2,554.15x = 5,298,567.72
  5. Step 5: Solve for x
    x = 5,298,567.72/2,554.15
  6. Step 6: Final answer
    x = 2,074.49

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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.