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Finding the Fourth Proportional to 2,684.43, 4,024.98 and 835.02

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Solution

The fourth proportional to 2,684.43, 4,024.98 and 835.02 is: 1,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.43 : 4,024.98 = 835.02 : x
  2. Step 2: Convert to fraction form
    2,684.43/4,024.98 = 835.02/x
  3. Step 3: Cross multiply
    2,684.43x = 4,024.98 × 835.02
  4. Step 4: Simplify right side
    2,684.43x = 3,360,938.80
  5. Step 5: Solve for x
    x = 3,360,938.80/2,684.43
  6. Step 6: Final answer
    x = 1,252.01

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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.