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Finding the Fourth Proportional to 1,518.02, 2,094.68 and 854.83

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Solution

The fourth proportional to 1,518.02, 2,094.68 and 854.83 is: 1,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.02 : 2,094.68 = 854.83 : x
  2. Step 2: Convert to fraction form
    1,518.02/2,094.68 = 854.83/x
  3. Step 3: Cross multiply
    1,518.02x = 2,094.68 × 854.83
  4. Step 4: Simplify right side
    1,518.02x = 1,790,592.20
  5. Step 5: Solve for x
    x = 1,790,592.20/1,518.02
  6. Step 6: Final answer
    x = 1,179.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.