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Finding the Fourth Proportional to 1,903.60, 2,850.78 and 1,317.04

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Solution

The fourth proportional to 1,903.60, 2,850.78 and 1,317.04 is: 1,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.60 : 2,850.78 = 1,317.04 : x
  2. Step 2: Convert to fraction form
    1,903.60/2,850.78 = 1,317.04/x
  3. Step 3: Cross multiply
    1,903.60x = 2,850.78 × 1,317.04
  4. Step 4: Simplify right side
    1,903.60x = 3,754,591.29
  5. Step 5: Solve for x
    x = 3,754,591.29/1,903.60
  6. Step 6: Final answer
    x = 1,972.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.