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Finding the Fourth Proportional to 1,481.41, 2,219.10 and 924.29

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Solution

The fourth proportional to 1,481.41, 2,219.10 and 924.29 is: 1,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.41 : 2,219.10 = 924.29 : x
  2. Step 2: Convert to fraction form
    1,481.41/2,219.10 = 924.29/x
  3. Step 3: Cross multiply
    1,481.41x = 2,219.10 × 924.29
  4. Step 4: Simplify right side
    1,481.41x = 2,051,091.94
  5. Step 5: Solve for x
    x = 2,051,091.94/1,481.41
  6. Step 6: Final answer
    x = 1,384.55

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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.