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Finding the Fourth Proportional to 2,079.09, 3,116.21 and 924.03

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Solution

The fourth proportional to 2,079.09, 3,116.21 and 924.03 is: 1,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.09 : 3,116.21 = 924.03 : x
  2. Step 2: Convert to fraction form
    2,079.09/3,116.21 = 924.03/x
  3. Step 3: Cross multiply
    2,079.09x = 3,116.21 × 924.03
  4. Step 4: Simplify right side
    2,079.09x = 2,879,466.91
  5. Step 5: Solve for x
    x = 2,879,466.91/2,079.09
  6. Step 6: Final answer
    x = 1,384.97

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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.