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Finding the Fourth Proportional to 3,201.76, 4,792.47 and 1,810.99

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Solution

The fourth proportional to 3,201.76, 4,792.47 and 1,810.99 is: 2,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.76 : 4,792.47 = 1,810.99 : x
  2. Step 2: Convert to fraction form
    3,201.76/4,792.47 = 1,810.99/x
  3. Step 3: Cross multiply
    3,201.76x = 4,792.47 × 1,810.99
  4. Step 4: Simplify right side
    3,201.76x = 8,679,115.25
  5. Step 5: Solve for x
    x = 8,679,115.25/3,201.76
  6. Step 6: Final answer
    x = 2,710.73

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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.