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Finding the Fourth Proportional to 1,184.40, 1,766.88 and 1,018.80

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Solution

The fourth proportional to 1,184.40, 1,766.88 and 1,018.80 is: 1,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.40 : 1,766.88 = 1,018.80 : x
  2. Step 2: Convert to fraction form
    1,184.40/1,766.88 = 1,018.80/x
  3. Step 3: Cross multiply
    1,184.40x = 1,766.88 × 1,018.80
  4. Step 4: Simplify right side
    1,184.40x = 1,800,097.34
  5. Step 5: Solve for x
    x = 1,800,097.34/1,184.40
  6. Step 6: Final answer
    x = 1,519.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.