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Finding the Fourth Proportional to 2,856.60, 4,284.63 and 1,101.60

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Solution

The fourth proportional to 2,856.60, 4,284.63 and 1,101.60 is: 1,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.60 : 4,284.63 = 1,101.60 : x
  2. Step 2: Convert to fraction form
    2,856.60/4,284.63 = 1,101.60/x
  3. Step 3: Cross multiply
    2,856.60x = 4,284.63 × 1,101.60
  4. Step 4: Simplify right side
    2,856.60x = 4,719,948.41
  5. Step 5: Solve for x
    x = 4,719,948.41/2,856.60
  6. Step 6: Final answer
    x = 1,652.30

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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.