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Finding the Fourth Proportional to 2,508.96, 3,763.12 and 660.23

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Solution

The fourth proportional to 2,508.96, 3,763.12 and 660.23 is: 990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.96 : 3,763.12 = 660.23 : x
  2. Step 2: Convert to fraction form
    2,508.96/3,763.12 = 660.23/x
  3. Step 3: Cross multiply
    2,508.96x = 3,763.12 × 660.23
  4. Step 4: Simplify right side
    2,508.96x = 2,484,521.42
  5. Step 5: Solve for x
    x = 2,484,521.42/2,508.96
  6. Step 6: Final answer
    x = 990.26

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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.