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Finding the Fourth Proportional to 2,856.29, 4,284.37 and 1,317.29

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Solution

The fourth proportional to 2,856.29, 4,284.37 and 1,317.29 is: 1,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.29 : 4,284.37 = 1,317.29 : x
  2. Step 2: Convert to fraction form
    2,856.29/4,284.37 = 1,317.29/x
  3. Step 3: Cross multiply
    2,856.29x = 4,284.37 × 1,317.29
  4. Step 4: Simplify right side
    2,856.29x = 5,643,757.76
  5. Step 5: Solve for x
    x = 5,643,757.76/2,856.29
  6. Step 6: Final answer
    x = 1,975.91

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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.