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Finding the Fourth Proportional to 2,052, 3,078.24 and 684

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Solution

The fourth proportional to 2,052, 3,078.24 and 684 is: 1,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052 : 3,078.24 = 684 : x
  2. Step 2: Convert to fraction form
    2,052/3,078.24 = 684/x
  3. Step 3: Cross multiply
    2,052x = 3,078.24 × 684
  4. Step 4: Simplify right side
    2,052x = 2,105,516.16
  5. Step 5: Solve for x
    x = 2,105,516.16/2,052
  6. Step 6: Final answer
    x = 1,026.08

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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.