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Finding the Fourth Proportional to 1,864.40, 2,792.08 and 996.80

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Solution

The fourth proportional to 1,864.40, 2,792.08 and 996.80 is: 1,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.40 : 2,792.08 = 996.80 : x
  2. Step 2: Convert to fraction form
    1,864.40/2,792.08 = 996.80/x
  3. Step 3: Cross multiply
    1,864.40x = 2,792.08 × 996.80
  4. Step 4: Simplify right side
    1,864.40x = 2,783,145.34
  5. Step 5: Solve for x
    x = 2,783,145.34/1,864.40
  6. Step 6: Final answer
    x = 1,492.78

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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.