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Finding the Fourth Proportional to 2,137.65, 2,950.22 and 1,253.45

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Solution

The fourth proportional to 2,137.65, 2,950.22 and 1,253.45 is: 1,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.65 : 2,950.22 = 1,253.45 : x
  2. Step 2: Convert to fraction form
    2,137.65/2,950.22 = 1,253.45/x
  3. Step 3: Cross multiply
    2,137.65x = 2,950.22 × 1,253.45
  4. Step 4: Simplify right side
    2,137.65x = 3,697,932.24
  5. Step 5: Solve for x
    x = 3,697,932.24/2,137.65
  6. Step 6: Final answer
    x = 1,729.91

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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.