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Finding the Fourth Proportional to 2,483.16, 3,723.66 and 751.38

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Solution

The fourth proportional to 2,483.16, 3,723.66 and 751.38 is: 1,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.16 : 3,723.66 = 751.38 : x
  2. Step 2: Convert to fraction form
    2,483.16/3,723.66 = 751.38/x
  3. Step 3: Cross multiply
    2,483.16x = 3,723.66 × 751.38
  4. Step 4: Simplify right side
    2,483.16x = 2,797,883.65
  5. Step 5: Solve for x
    x = 2,797,883.65/2,483.16
  6. Step 6: Final answer
    x = 1,126.74

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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.