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Finding the Fourth Proportional to 2,720.98, 4,083.84 and 1,423.36

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Solution

The fourth proportional to 2,720.98, 4,083.84 and 1,423.36 is: 2,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.98 : 4,083.84 = 1,423.36 : x
  2. Step 2: Convert to fraction form
    2,720.98/4,083.84 = 1,423.36/x
  3. Step 3: Cross multiply
    2,720.98x = 4,083.84 × 1,423.36
  4. Step 4: Simplify right side
    2,720.98x = 5,812,774.50
  5. Step 5: Solve for x
    x = 5,812,774.50/2,720.98
  6. Step 6: Final answer
    x = 2,136.28

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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.