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Finding the Fourth Proportional to 2,308.64, 3,461.27 and 847.53

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Solution

The fourth proportional to 2,308.64, 3,461.27 and 847.53 is: 1,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.64 : 3,461.27 = 847.53 : x
  2. Step 2: Convert to fraction form
    2,308.64/3,461.27 = 847.53/x
  3. Step 3: Cross multiply
    2,308.64x = 3,461.27 × 847.53
  4. Step 4: Simplify right side
    2,308.64x = 2,933,525.93
  5. Step 5: Solve for x
    x = 2,933,525.93/2,308.64
  6. Step 6: Final answer
    x = 1,270.68

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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.