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Finding the Fourth Proportional to 2,801.84, 4,201.54 and 952.46

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Solution

The fourth proportional to 2,801.84, 4,201.54 and 952.46 is: 1,428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.84 : 4,201.54 = 952.46 : x
  2. Step 2: Convert to fraction form
    2,801.84/4,201.54 = 952.46/x
  3. Step 3: Cross multiply
    2,801.84x = 4,201.54 × 952.46
  4. Step 4: Simplify right side
    2,801.84x = 4,001,784.22
  5. Step 5: Solve for x
    x = 4,001,784.22/2,801.84
  6. Step 6: Final answer
    x = 1,428.27

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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.