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Finding the Fourth Proportional to 4,660.17, 6,991.47 and 1,738.50

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Solution

The fourth proportional to 4,660.17, 6,991.47 and 1,738.50 is: 2,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.17 : 6,991.47 = 1,738.50 : x
  2. Step 2: Convert to fraction form
    4,660.17/6,991.47 = 1,738.50/x
  3. Step 3: Cross multiply
    4,660.17x = 6,991.47 × 1,738.50
  4. Step 4: Simplify right side
    4,660.17x = 12,154,670.60
  5. Step 5: Solve for x
    x = 12,154,670.60/4,660.17
  6. Step 6: Final answer
    x = 2,608.20

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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.