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Finding the Fourth Proportional to 2,678.94, 3,697.74 and 1,631.52

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Solution

The fourth proportional to 2,678.94, 3,697.74 and 1,631.52 is: 2,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.94 : 3,697.74 = 1,631.52 : x
  2. Step 2: Convert to fraction form
    2,678.94/3,697.74 = 1,631.52/x
  3. Step 3: Cross multiply
    2,678.94x = 3,697.74 × 1,631.52
  4. Step 4: Simplify right side
    2,678.94x = 6,032,936.76
  5. Step 5: Solve for x
    x = 6,032,936.76/2,678.94
  6. Step 6: Final answer
    x = 2,251.99

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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.