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Finding the Fourth Proportional to 1,731.66, 2,596.98 and 636.11

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Solution

The fourth proportional to 1,731.66, 2,596.98 and 636.11 is: 953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.66 : 2,596.98 = 636.11 : x
  2. Step 2: Convert to fraction form
    1,731.66/2,596.98 = 636.11/x
  3. Step 3: Cross multiply
    1,731.66x = 2,596.98 × 636.11
  4. Step 4: Simplify right side
    1,731.66x = 1,651,969.15
  5. Step 5: Solve for x
    x = 1,651,969.15/1,731.66
  6. Step 6: Final answer
    x = 953.98

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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.