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Finding the Fourth Proportional to 1,651.44, 2,477.16 and 677.58

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Solution

The fourth proportional to 1,651.44, 2,477.16 and 677.58 is: 1,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.44 : 2,477.16 = 677.58 : x
  2. Step 2: Convert to fraction form
    1,651.44/2,477.16 = 677.58/x
  3. Step 3: Cross multiply
    1,651.44x = 2,477.16 × 677.58
  4. Step 4: Simplify right side
    1,651.44x = 1,678,474.07
  5. Step 5: Solve for x
    x = 1,678,474.07/1,651.44
  6. Step 6: Final answer
    x = 1,016.37

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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.