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Finding the Fourth Proportional to 2,895.16, 4,343.96 and 920.96

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Solution

The fourth proportional to 2,895.16, 4,343.96 and 920.96 is: 1,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.16 : 4,343.96 = 920.96 : x
  2. Step 2: Convert to fraction form
    2,895.16/4,343.96 = 920.96/x
  3. Step 3: Cross multiply
    2,895.16x = 4,343.96 × 920.96
  4. Step 4: Simplify right side
    2,895.16x = 4,000,613.40
  5. Step 5: Solve for x
    x = 4,000,613.40/2,895.16
  6. Step 6: Final answer
    x = 1,381.83

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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.