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Finding the Fourth Proportional to 2,016.60, 2,784.12 and 1,308.72

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Solution

The fourth proportional to 2,016.60, 2,784.12 and 1,308.72 is: 1,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.60 : 2,784.12 = 1,308.72 : x
  2. Step 2: Convert to fraction form
    2,016.60/2,784.12 = 1,308.72/x
  3. Step 3: Cross multiply
    2,016.60x = 2,784.12 × 1,308.72
  4. Step 4: Simplify right side
    2,016.60x = 3,643,633.53
  5. Step 5: Solve for x
    x = 3,643,633.53/2,016.60
  6. Step 6: Final answer
    x = 1,806.82

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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.