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Finding the Fourth Proportional to 1,736.47, 2,604.30 and 811.15

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Solution

The fourth proportional to 1,736.47, 2,604.30 and 811.15 is: 1,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.47 : 2,604.30 = 811.15 : x
  2. Step 2: Convert to fraction form
    1,736.47/2,604.30 = 811.15/x
  3. Step 3: Cross multiply
    1,736.47x = 2,604.30 × 811.15
  4. Step 4: Simplify right side
    1,736.47x = 2,112,477.95
  5. Step 5: Solve for x
    x = 2,112,477.95/1,736.47
  6. Step 6: Final answer
    x = 1,216.54

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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.