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Finding the Fourth Proportional to 2,687.60, 3,710.14 and 1,792.83

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Solution

The fourth proportional to 2,687.60, 3,710.14 and 1,792.83 is: 2,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.60 : 3,710.14 = 1,792.83 : x
  2. Step 2: Convert to fraction form
    2,687.60/3,710.14 = 1,792.83/x
  3. Step 3: Cross multiply
    2,687.60x = 3,710.14 × 1,792.83
  4. Step 4: Simplify right side
    2,687.60x = 6,651,652.54
  5. Step 5: Solve for x
    x = 6,651,652.54/2,687.60
  6. Step 6: Final answer
    x = 2,474.94

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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.