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Finding the Fourth Proportional to 2,106.86, 3,160.30 and 720.24

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Solution

The fourth proportional to 2,106.86, 3,160.30 and 720.24 is: 1,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.86 : 3,160.30 = 720.24 : x
  2. Step 2: Convert to fraction form
    2,106.86/3,160.30 = 720.24/x
  3. Step 3: Cross multiply
    2,106.86x = 3,160.30 × 720.24
  4. Step 4: Simplify right side
    2,106.86x = 2,276,174.47
  5. Step 5: Solve for x
    x = 2,276,174.47/2,106.86
  6. Step 6: Final answer
    x = 1,080.36

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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.