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Finding the Fourth Proportional to 2,701.65, 4,051.89 and 727.23

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Solution

The fourth proportional to 2,701.65, 4,051.89 and 727.23 is: 1,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.65 : 4,051.89 = 727.23 : x
  2. Step 2: Convert to fraction form
    2,701.65/4,051.89 = 727.23/x
  3. Step 3: Cross multiply
    2,701.65x = 4,051.89 × 727.23
  4. Step 4: Simplify right side
    2,701.65x = 2,946,655.96
  5. Step 5: Solve for x
    x = 2,946,655.96/2,701.65
  6. Step 6: Final answer
    x = 1,090.69

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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.