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Finding the Fourth Proportional to 2,411.56, 3,617.48 and 851.23

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Solution

The fourth proportional to 2,411.56, 3,617.48 and 851.23 is: 1,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.56 : 3,617.48 = 851.23 : x
  2. Step 2: Convert to fraction form
    2,411.56/3,617.48 = 851.23/x
  3. Step 3: Cross multiply
    2,411.56x = 3,617.48 × 851.23
  4. Step 4: Simplify right side
    2,411.56x = 3,079,307.50
  5. Step 5: Solve for x
    x = 3,079,307.50/2,411.56
  6. Step 6: Final answer
    x = 1,276.89

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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.