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Finding the Fourth Proportional to 4,659.40, 6,982.88 and 1,734.76

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Solution

The fourth proportional to 4,659.40, 6,982.88 and 1,734.76 is: 2,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.40 : 6,982.88 = 1,734.76 : x
  2. Step 2: Convert to fraction form
    4,659.40/6,982.88 = 1,734.76/x
  3. Step 3: Cross multiply
    4,659.40x = 6,982.88 × 1,734.76
  4. Step 4: Simplify right side
    4,659.40x = 12,113,620.91
  5. Step 5: Solve for x
    x = 12,113,620.91/4,659.40
  6. Step 6: Final answer
    x = 2,599.82

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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.