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Finding the Fourth Proportional to 2,856.96, 4,283.52 and 1,607.64

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Solution

The fourth proportional to 2,856.96, 4,283.52 and 1,607.64 is: 2,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.96 : 4,283.52 = 1,607.64 : x
  2. Step 2: Convert to fraction form
    2,856.96/4,283.52 = 1,607.64/x
  3. Step 3: Cross multiply
    2,856.96x = 4,283.52 × 1,607.64
  4. Step 4: Simplify right side
    2,856.96x = 6,886,358.09
  5. Step 5: Solve for x
    x = 6,886,358.09/2,856.96
  6. Step 6: Final answer
    x = 2,410.38

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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.