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Finding the Fourth Proportional to 4,660.74, 6,991.37 and 1,887.34

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Solution

The fourth proportional to 4,660.74, 6,991.37 and 1,887.34 is: 2,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.74 : 6,991.37 = 1,887.34 : x
  2. Step 2: Convert to fraction form
    4,660.74/6,991.37 = 1,887.34/x
  3. Step 3: Cross multiply
    4,660.74x = 6,991.37 × 1,887.34
  4. Step 4: Simplify right side
    4,660.74x = 13,195,092.26
  5. Step 5: Solve for x
    x = 13,195,092.26/4,660.74
  6. Step 6: Final answer
    x = 2,831.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.