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Finding the Fourth Proportional to 2,008.64, 2,772.98 and 1,386.56

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Solution

The fourth proportional to 2,008.64, 2,772.98 and 1,386.56 is: 1,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.64 : 2,772.98 = 1,386.56 : x
  2. Step 2: Convert to fraction form
    2,008.64/2,772.98 = 1,386.56/x
  3. Step 3: Cross multiply
    2,008.64x = 2,772.98 × 1,386.56
  4. Step 4: Simplify right side
    2,008.64x = 3,844,903.15
  5. Step 5: Solve for x
    x = 3,844,903.15/2,008.64
  6. Step 6: Final answer
    x = 1,914.18

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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.