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Finding the Fourth Proportional to 2,827.36, 3,902.04 and 1,648.48

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Solution

The fourth proportional to 2,827.36, 3,902.04 and 1,648.48 is: 2,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.36 : 3,902.04 = 1,648.48 : x
  2. Step 2: Convert to fraction form
    2,827.36/3,902.04 = 1,648.48/x
  3. Step 3: Cross multiply
    2,827.36x = 3,902.04 × 1,648.48
  4. Step 4: Simplify right side
    2,827.36x = 6,432,434.90
  5. Step 5: Solve for x
    x = 6,432,434.90/2,827.36
  6. Step 6: Final answer
    x = 2,275.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.