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Finding the Fourth Proportional to 2,137.50, 2,949.84 and 1,253.34

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Solution

The fourth proportional to 2,137.50, 2,949.84 and 1,253.34 is: 1,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.50 : 2,949.84 = 1,253.34 : x
  2. Step 2: Convert to fraction form
    2,137.50/2,949.84 = 1,253.34/x
  3. Step 3: Cross multiply
    2,137.50x = 2,949.84 × 1,253.34
  4. Step 4: Simplify right side
    2,137.50x = 3,697,152.47
  5. Step 5: Solve for x
    x = 3,697,152.47/2,137.50
  6. Step 6: Final answer
    x = 1,729.66

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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.