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Finding the Fourth Proportional to 1,911.84, 2,635.74 and 1,463.94

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Solution

The fourth proportional to 1,911.84, 2,635.74 and 1,463.94 is: 2,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.84 : 2,635.74 = 1,463.94 : x
  2. Step 2: Convert to fraction form
    1,911.84/2,635.74 = 1,463.94/x
  3. Step 3: Cross multiply
    1,911.84x = 2,635.74 × 1,463.94
  4. Step 4: Simplify right side
    1,911.84x = 3,858,565.22
  5. Step 5: Solve for x
    x = 3,858,565.22/1,911.84
  6. Step 6: Final answer
    x = 2,018.25

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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.