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Finding the Fourth Proportional to 2,308.37, 3,462.44 and 847.42

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Solution

The fourth proportional to 2,308.37, 3,462.44 and 847.42 is: 1,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.37 : 3,462.44 = 847.42 : x
  2. Step 2: Convert to fraction form
    2,308.37/3,462.44 = 847.42/x
  3. Step 3: Cross multiply
    2,308.37x = 3,462.44 × 847.42
  4. Step 4: Simplify right side
    2,308.37x = 2,934,128.01
  5. Step 5: Solve for x
    x = 2,934,128.01/2,308.37
  6. Step 6: Final answer
    x = 1,271.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.