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Finding the Fourth Proportional to 2,784.65, 4,174.25 and 1,138.94

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Solution

The fourth proportional to 2,784.65, 4,174.25 and 1,138.94 is: 1,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.65 : 4,174.25 = 1,138.94 : x
  2. Step 2: Convert to fraction form
    2,784.65/4,174.25 = 1,138.94/x
  3. Step 3: Cross multiply
    2,784.65x = 4,174.25 × 1,138.94
  4. Step 4: Simplify right side
    2,784.65x = 4,754,220.30
  5. Step 5: Solve for x
    x = 4,754,220.30/2,784.65
  6. Step 6: Final answer
    x = 1,707.30

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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.