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Finding the Fourth Proportional to 4,690.16, 7,033.48 and 1,766.88

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Solution

The fourth proportional to 4,690.16, 7,033.48 and 1,766.88 is: 2,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.16 : 7,033.48 = 1,766.88 : x
  2. Step 2: Convert to fraction form
    4,690.16/7,033.48 = 1,766.88/x
  3. Step 3: Cross multiply
    4,690.16x = 7,033.48 × 1,766.88
  4. Step 4: Simplify right side
    4,690.16x = 12,427,315.14
  5. Step 5: Solve for x
    x = 12,427,315.14/4,690.16
  6. Step 6: Final answer
    x = 2,649.66

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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.