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Finding the Fourth Proportional to 4,659.67, 6,990.72 and 1,738

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Solution

The fourth proportional to 4,659.67, 6,990.72 and 1,738 is: 2,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.67 : 6,990.72 = 1,738 : x
  2. Step 2: Convert to fraction form
    4,659.67/6,990.72 = 1,738/x
  3. Step 3: Cross multiply
    4,659.67x = 6,990.72 × 1,738
  4. Step 4: Simplify right side
    4,659.67x = 12,149,871.36
  5. Step 5: Solve for x
    x = 12,149,871.36/4,659.67
  6. Step 6: Final answer
    x = 2,607.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.