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Finding the Fourth Proportional to 2,308.23, 3,462.57 and 847.53

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Solution

The fourth proportional to 2,308.23, 3,462.57 and 847.53 is: 1,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.23 : 3,462.57 = 847.53 : x
  2. Step 2: Convert to fraction form
    2,308.23/3,462.57 = 847.53/x
  3. Step 3: Cross multiply
    2,308.23x = 3,462.57 × 847.53
  4. Step 4: Simplify right side
    2,308.23x = 2,934,631.95
  5. Step 5: Solve for x
    x = 2,934,631.95/2,308.23
  6. Step 6: Final answer
    x = 1,271.38

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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.