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Finding the Fourth Proportional to 4,684.50, 7,026.84 and 1,764.18

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Solution

The fourth proportional to 4,684.50, 7,026.84 and 1,764.18 is: 2,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.50 : 7,026.84 = 1,764.18 : x
  2. Step 2: Convert to fraction form
    4,684.50/7,026.84 = 1,764.18/x
  3. Step 3: Cross multiply
    4,684.50x = 7,026.84 × 1,764.18
  4. Step 4: Simplify right side
    4,684.50x = 12,396,610.59
  5. Step 5: Solve for x
    x = 12,396,610.59/4,684.50
  6. Step 6: Final answer
    x = 2,646.30

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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.