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Finding the Fourth Proportional to 1,784.02, 2,672.79 and 1,745.14

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Solution

The fourth proportional to 1,784.02, 2,672.79 and 1,745.14 is: 2,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.02 : 2,672.79 = 1,745.14 : x
  2. Step 2: Convert to fraction form
    1,784.02/2,672.79 = 1,745.14/x
  3. Step 3: Cross multiply
    1,784.02x = 2,672.79 × 1,745.14
  4. Step 4: Simplify right side
    1,784.02x = 4,664,392.74
  5. Step 5: Solve for x
    x = 4,664,392.74/1,784.02
  6. Step 6: Final answer
    x = 2,614.54

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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.