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Finding the Fourth Proportional to 1,777.70, 2,665.15 and 1,084.24

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Solution

The fourth proportional to 1,777.70, 2,665.15 and 1,084.24 is: 1,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.70 : 2,665.15 = 1,084.24 : x
  2. Step 2: Convert to fraction form
    1,777.70/2,665.15 = 1,084.24/x
  3. Step 3: Cross multiply
    1,777.70x = 2,665.15 × 1,084.24
  4. Step 4: Simplify right side
    1,777.70x = 2,889,653.96
  5. Step 5: Solve for x
    x = 2,889,653.96/1,777.70
  6. Step 6: Final answer
    x = 1,625.50

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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.