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Finding the Fourth Proportional to 2,439.16, 3,658.52 and 684.02

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Solution

The fourth proportional to 2,439.16, 3,658.52 and 684.02 is: 1,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.16 : 3,658.52 = 684.02 : x
  2. Step 2: Convert to fraction form
    2,439.16/3,658.52 = 684.02/x
  3. Step 3: Cross multiply
    2,439.16x = 3,658.52 × 684.02
  4. Step 4: Simplify right side
    2,439.16x = 2,502,502.56
  5. Step 5: Solve for x
    x = 2,502,502.56/2,439.16
  6. Step 6: Final answer
    x = 1,025.97

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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.