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Finding the Fourth Proportional to 4,801.64, 7,201.85 and 1,881.99

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Solution

The fourth proportional to 4,801.64, 7,201.85 and 1,881.99 is: 2,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.64 : 7,201.85 = 1,881.99 : x
  2. Step 2: Convert to fraction form
    4,801.64/7,201.85 = 1,881.99/x
  3. Step 3: Cross multiply
    4,801.64x = 7,201.85 × 1,881.99
  4. Step 4: Simplify right side
    4,801.64x = 13,553,800.27
  5. Step 5: Solve for x
    x = 13,553,800.27/4,801.64
  6. Step 6: Final answer
    x = 2,822.75

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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.