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Finding the Fourth Proportional to 2,308.64, 3,461.33 and 847.60

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Solution

The fourth proportional to 2,308.64, 3,461.33 and 847.60 is: 1,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.64 : 3,461.33 = 847.60 : x
  2. Step 2: Convert to fraction form
    2,308.64/3,461.33 = 847.60/x
  3. Step 3: Cross multiply
    2,308.64x = 3,461.33 × 847.60
  4. Step 4: Simplify right side
    2,308.64x = 2,933,816.77
  5. Step 5: Solve for x
    x = 2,933,816.77/2,308.64
  6. Step 6: Final answer
    x = 1,270.80

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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.