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Finding the Fourth Proportional to 2,784.33, 4,176.50 and 1,244.25

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Solution

The fourth proportional to 2,784.33, 4,176.50 and 1,244.25 is: 1,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.33 : 4,176.50 = 1,244.25 : x
  2. Step 2: Convert to fraction form
    2,784.33/4,176.50 = 1,244.25/x
  3. Step 3: Cross multiply
    2,784.33x = 4,176.50 × 1,244.25
  4. Step 4: Simplify right side
    2,784.33x = 5,196,603.90
  5. Step 5: Solve for x
    x = 5,196,603.90/2,784.33
  6. Step 6: Final answer
    x = 1,866.38

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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.