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Finding the Fourth Proportional to 3,151.54, 4,725.06 and 1,176.22

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Solution

The fourth proportional to 3,151.54, 4,725.06 and 1,176.22 is: 1,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.54 : 4,725.06 = 1,176.22 : x
  2. Step 2: Convert to fraction form
    3,151.54/4,725.06 = 1,176.22/x
  3. Step 3: Cross multiply
    3,151.54x = 4,725.06 × 1,176.22
  4. Step 4: Simplify right side
    3,151.54x = 5,557,710.07
  5. Step 5: Solve for x
    x = 5,557,710.07/3,151.54
  6. Step 6: Final answer
    x = 1,763.49

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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.