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Finding the Fourth Proportional to 2,720.07, 4,080.15 and 1,424.07

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Solution

The fourth proportional to 2,720.07, 4,080.15 and 1,424.07 is: 2,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.07 : 4,080.15 = 1,424.07 : x
  2. Step 2: Convert to fraction form
    2,720.07/4,080.15 = 1,424.07/x
  3. Step 3: Cross multiply
    2,720.07x = 4,080.15 × 1,424.07
  4. Step 4: Simplify right side
    2,720.07x = 5,810,419.21
  5. Step 5: Solve for x
    x = 5,810,419.21/2,720.07
  6. Step 6: Final answer
    x = 2,136.13

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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.