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Finding the Fourth Proportional to 2,376.16, 3,564.08 and 836.96

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Solution

The fourth proportional to 2,376.16, 3,564.08 and 836.96 is: 1,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.16 : 3,564.08 = 836.96 : x
  2. Step 2: Convert to fraction form
    2,376.16/3,564.08 = 836.96/x
  3. Step 3: Cross multiply
    2,376.16x = 3,564.08 × 836.96
  4. Step 4: Simplify right side
    2,376.16x = 2,982,992.40
  5. Step 5: Solve for x
    x = 2,982,992.40/2,376.16
  6. Step 6: Final answer
    x = 1,255.38

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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.