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Finding the Fourth Proportional to 2,516, 3,773.58 and 1,783.37

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Solution

The fourth proportional to 2,516, 3,773.58 and 1,783.37 is: 2,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516 : 3,773.58 = 1,783.37 : x
  2. Step 2: Convert to fraction form
    2,516/3,773.58 = 1,783.37/x
  3. Step 3: Cross multiply
    2,516x = 3,773.58 × 1,783.37
  4. Step 4: Simplify right side
    2,516x = 6,729,689.36
  5. Step 5: Solve for x
    x = 6,729,689.36/2,516
  6. Step 6: Final answer
    x = 2,674.76

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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.