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Finding the Fourth Proportional to 2,016.64, 2,784 and 1,394.56

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Solution

The fourth proportional to 2,016.64, 2,784 and 1,394.56 is: 1,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.64 : 2,784 = 1,394.56 : x
  2. Step 2: Convert to fraction form
    2,016.64/2,784 = 1,394.56/x
  3. Step 3: Cross multiply
    2,016.64x = 2,784 × 1,394.56
  4. Step 4: Simplify right side
    2,016.64x = 3,882,455.04
  5. Step 5: Solve for x
    x = 3,882,455.04/2,016.64
  6. Step 6: Final answer
    x = 1,925.21

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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.