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Finding the Fourth Proportional to 2,705.92, 4,059.60 and 974.72

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Solution

The fourth proportional to 2,705.92, 4,059.60 and 974.72 is: 1,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.92 : 4,059.60 = 974.72 : x
  2. Step 2: Convert to fraction form
    2,705.92/4,059.60 = 974.72/x
  3. Step 3: Cross multiply
    2,705.92x = 4,059.60 × 974.72
  4. Step 4: Simplify right side
    2,705.92x = 3,956,973.31
  5. Step 5: Solve for x
    x = 3,956,973.31/2,705.92
  6. Step 6: Final answer
    x = 1,462.34

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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.