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Finding the Fourth Proportional to 1,766.64, 2,649.88 and 1,185.36

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Solution

The fourth proportional to 1,766.64, 2,649.88 and 1,185.36 is: 1,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.64 : 2,649.88 = 1,185.36 : x
  2. Step 2: Convert to fraction form
    1,766.64/2,649.88 = 1,185.36/x
  3. Step 3: Cross multiply
    1,766.64x = 2,649.88 × 1,185.36
  4. Step 4: Simplify right side
    1,766.64x = 3,141,061.76
  5. Step 5: Solve for x
    x = 3,141,061.76/1,766.64
  6. Step 6: Final answer
    x = 1,777.99

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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.