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Finding the Fourth Proportional to 2,492.76, 3,739.14 and 849.48

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Solution

The fourth proportional to 2,492.76, 3,739.14 and 849.48 is: 1,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.76 : 3,739.14 = 849.48 : x
  2. Step 2: Convert to fraction form
    2,492.76/3,739.14 = 849.48/x
  3. Step 3: Cross multiply
    2,492.76x = 3,739.14 × 849.48
  4. Step 4: Simplify right side
    2,492.76x = 3,176,324.65
  5. Step 5: Solve for x
    x = 3,176,324.65/2,492.76
  6. Step 6: Final answer
    x = 1,274.22

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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.