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Finding the Fourth Proportional to 1,518.66, 2,276.62 and 544.54

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Solution

The fourth proportional to 1,518.66, 2,276.62 and 544.54 is: 816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.66 : 2,276.62 = 544.54 : x
  2. Step 2: Convert to fraction form
    1,518.66/2,276.62 = 544.54/x
  3. Step 3: Cross multiply
    1,518.66x = 2,276.62 × 544.54
  4. Step 4: Simplify right side
    1,518.66x = 1,239,710.65
  5. Step 5: Solve for x
    x = 1,239,710.65/1,518.66
  6. Step 6: Final answer
    x = 816.32

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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.