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Finding the Fourth Proportional to 2,684.71, 4,027.03 and 1,042.40

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Solution

The fourth proportional to 2,684.71, 4,027.03 and 1,042.40 is: 1,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.71 : 4,027.03 = 1,042.40 : x
  2. Step 2: Convert to fraction form
    2,684.71/4,027.03 = 1,042.40/x
  3. Step 3: Cross multiply
    2,684.71x = 4,027.03 × 1,042.40
  4. Step 4: Simplify right side
    2,684.71x = 4,197,783.53
  5. Step 5: Solve for x
    x = 4,197,783.53/2,684.71
  6. Step 6: Final answer
    x = 1,563.59

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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.