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Finding the Fourth Proportional to 2,137.07, 2,949.19 and 1,252.96

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Solution

The fourth proportional to 2,137.07, 2,949.19 and 1,252.96 is: 1,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.07 : 2,949.19 = 1,252.96 : x
  2. Step 2: Convert to fraction form
    2,137.07/2,949.19 = 1,252.96/x
  3. Step 3: Cross multiply
    2,137.07x = 2,949.19 × 1,252.96
  4. Step 4: Simplify right side
    2,137.07x = 3,695,206.60
  5. Step 5: Solve for x
    x = 3,695,206.60/2,137.07
  6. Step 6: Final answer
    x = 1,729.10

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