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Finding the Fourth Proportional to 2,052.96, 3,078.48 and 684

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Solution

The fourth proportional to 2,052.96, 3,078.48 and 684 is: 1,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.96 : 3,078.48 = 684 : x
  2. Step 2: Convert to fraction form
    2,052.96/3,078.48 = 684/x
  3. Step 3: Cross multiply
    2,052.96x = 3,078.48 × 684
  4. Step 4: Simplify right side
    2,052.96x = 2,105,680.32
  5. Step 5: Solve for x
    x = 2,105,680.32/2,052.96
  6. Step 6: Final answer
    x = 1,025.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.