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Finding the Fourth Proportional to 2,484.97, 3,725.16 and 1,078.51

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Solution

The fourth proportional to 2,484.97, 3,725.16 and 1,078.51 is: 1,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.97 : 3,725.16 = 1,078.51 : x
  2. Step 2: Convert to fraction form
    2,484.97/3,725.16 = 1,078.51/x
  3. Step 3: Cross multiply
    2,484.97x = 3,725.16 × 1,078.51
  4. Step 4: Simplify right side
    2,484.97x = 4,017,622.31
  5. Step 5: Solve for x
    x = 4,017,622.31/2,484.97
  6. Step 6: Final answer
    x = 1,616.77

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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.