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Finding the Fourth Proportional to 2,137.34, 2,950 and 1,253.18

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Solution

The fourth proportional to 2,137.34, 2,950 and 1,253.18 is: 1,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.34 : 2,950 = 1,253.18 : x
  2. Step 2: Convert to fraction form
    2,137.34/2,950 = 1,253.18/x
  3. Step 3: Cross multiply
    2,137.34x = 2,950 × 1,253.18
  4. Step 4: Simplify right side
    2,137.34x = 3,696,881
  5. Step 5: Solve for x
    x = 3,696,881/2,137.34
  6. Step 6: Final answer
    x = 1,729.66

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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.