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Finding the Fourth Proportional to 2,310.60, 3,467.42 and 849.77

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Solution

The fourth proportional to 2,310.60, 3,467.42 and 849.77 is: 1,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.60 : 3,467.42 = 849.77 : x
  2. Step 2: Convert to fraction form
    2,310.60/3,467.42 = 849.77/x
  3. Step 3: Cross multiply
    2,310.60x = 3,467.42 × 849.77
  4. Step 4: Simplify right side
    2,310.60x = 2,946,509.49
  5. Step 5: Solve for x
    x = 2,946,509.49/2,310.60
  6. Step 6: Final answer
    x = 1,275.21

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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.