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Finding the Fourth Proportional to 2,309.70, 3,462.54 and 847.92

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Solution

The fourth proportional to 2,309.70, 3,462.54 and 847.92 is: 1,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.70 : 3,462.54 = 847.92 : x
  2. Step 2: Convert to fraction form
    2,309.70/3,462.54 = 847.92/x
  3. Step 3: Cross multiply
    2,309.70x = 3,462.54 × 847.92
  4. Step 4: Simplify right side
    2,309.70x = 2,935,956.92
  5. Step 5: Solve for x
    x = 2,935,956.92/2,309.70
  6. Step 6: Final answer
    x = 1,271.14

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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.