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Finding the Fourth Proportional to 2,776.44, 4,166.71 and 1,315.59

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Solution

The fourth proportional to 2,776.44, 4,166.71 and 1,315.59 is: 1,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.44 : 4,166.71 = 1,315.59 : x
  2. Step 2: Convert to fraction form
    2,776.44/4,166.71 = 1,315.59/x
  3. Step 3: Cross multiply
    2,776.44x = 4,166.71 × 1,315.59
  4. Step 4: Simplify right side
    2,776.44x = 5,481,675.43
  5. Step 5: Solve for x
    x = 5,481,675.43/2,776.44
  6. Step 6: Final answer
    x = 1,974.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.