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Finding the Fourth Proportional to 2,703.65, 4,055.14 and 729.44

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Solution

The fourth proportional to 2,703.65, 4,055.14 and 729.44 is: 1,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.65 : 4,055.14 = 729.44 : x
  2. Step 2: Convert to fraction form
    2,703.65/4,055.14 = 729.44/x
  3. Step 3: Cross multiply
    2,703.65x = 4,055.14 × 729.44
  4. Step 4: Simplify right side
    2,703.65x = 2,957,984.77
  5. Step 5: Solve for x
    x = 2,957,984.77/2,703.65
  6. Step 6: Final answer
    x = 1,094.07

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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.