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Finding the Fourth Proportional to 2,856.08, 4,284.12 and 1,316.72

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Solution

The fourth proportional to 2,856.08, 4,284.12 and 1,316.72 is: 1,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.08 : 4,284.12 = 1,316.72 : x
  2. Step 2: Convert to fraction form
    2,856.08/4,284.12 = 1,316.72/x
  3. Step 3: Cross multiply
    2,856.08x = 4,284.12 × 1,316.72
  4. Step 4: Simplify right side
    2,856.08x = 5,640,986.49
  5. Step 5: Solve for x
    x = 5,640,986.49/2,856.08
  6. Step 6: Final answer
    x = 1,975.08

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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.