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Finding the Fourth Proportional to 1,269.17, 1,913.89 and 1,251.84

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Solution

The fourth proportional to 1,269.17, 1,913.89 and 1,251.84 is: 1,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.17 : 1,913.89 = 1,251.84 : x
  2. Step 2: Convert to fraction form
    1,269.17/1,913.89 = 1,251.84/x
  3. Step 3: Cross multiply
    1,269.17x = 1,913.89 × 1,251.84
  4. Step 4: Simplify right side
    1,269.17x = 2,395,884.06
  5. Step 5: Solve for x
    x = 2,395,884.06/1,269.17
  6. Step 6: Final answer
    x = 1,887.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.