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Finding the Fourth Proportional to 2,423.96, 3,633.84 and 2,056.16

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Solution

The fourth proportional to 2,423.96, 3,633.84 and 2,056.16 is: 3,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.96 : 3,633.84 = 2,056.16 : x
  2. Step 2: Convert to fraction form
    2,423.96/3,633.84 = 2,056.16/x
  3. Step 3: Cross multiply
    2,423.96x = 3,633.84 × 2,056.16
  4. Step 4: Simplify right side
    2,423.96x = 7,471,749.54
  5. Step 5: Solve for x
    x = 7,471,749.54/2,423.96
  6. Step 6: Final answer
    x = 3,082.45

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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.