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Finding the Fourth Proportional to 2,684.72, 4,027.08 and 1,384.40

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Solution

The fourth proportional to 2,684.72, 4,027.08 and 1,384.40 is: 2,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.72 : 4,027.08 = 1,384.40 : x
  2. Step 2: Convert to fraction form
    2,684.72/4,027.08 = 1,384.40/x
  3. Step 3: Cross multiply
    2,684.72x = 4,027.08 × 1,384.40
  4. Step 4: Simplify right side
    2,684.72x = 5,575,089.55
  5. Step 5: Solve for x
    x = 5,575,089.55/2,684.72
  6. Step 6: Final answer
    x = 2,076.60

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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.