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Finding the Fourth Proportional to 1,731.80, 2,598.48 and 806.84

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Solution

The fourth proportional to 1,731.80, 2,598.48 and 806.84 is: 1,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.80 : 2,598.48 = 806.84 : x
  2. Step 2: Convert to fraction form
    1,731.80/2,598.48 = 806.84/x
  3. Step 3: Cross multiply
    1,731.80x = 2,598.48 × 806.84
  4. Step 4: Simplify right side
    1,731.80x = 2,096,557.60
  5. Step 5: Solve for x
    x = 2,096,557.60/1,731.80
  6. Step 6: Final answer
    x = 1,210.62

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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.