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Finding the Fourth Proportional to 2,054.49, 2,833.16 and 1,308.17

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Solution

The fourth proportional to 2,054.49, 2,833.16 and 1,308.17 is: 1,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.49 : 2,833.16 = 1,308.17 : x
  2. Step 2: Convert to fraction form
    2,054.49/2,833.16 = 1,308.17/x
  3. Step 3: Cross multiply
    2,054.49x = 2,833.16 × 1,308.17
  4. Step 4: Simplify right side
    2,054.49x = 3,706,265.27
  5. Step 5: Solve for x
    x = 3,706,265.27/2,054.49
  6. Step 6: Final answer
    x = 1,803.98

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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.