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Finding the Fourth Proportional to 2,250.89, 3,107.36 and 1,412.81

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Solution

The fourth proportional to 2,250.89, 3,107.36 and 1,412.81 is: 1,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.89 : 3,107.36 = 1,412.81 : x
  2. Step 2: Convert to fraction form
    2,250.89/3,107.36 = 1,412.81/x
  3. Step 3: Cross multiply
    2,250.89x = 3,107.36 × 1,412.81
  4. Step 4: Simplify right side
    2,250.89x = 4,390,108.93
  5. Step 5: Solve for x
    x = 4,390,108.93/2,250.89
  6. Step 6: Final answer
    x = 1,950.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.