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Finding the Fourth Proportional to 1,896.60, 2,831.35 and 1,604.92

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Solution

The fourth proportional to 1,896.60, 2,831.35 and 1,604.92 is: 2,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.60 : 2,831.35 = 1,604.92 : x
  2. Step 2: Convert to fraction form
    1,896.60/2,831.35 = 1,604.92/x
  3. Step 3: Cross multiply
    1,896.60x = 2,831.35 × 1,604.92
  4. Step 4: Simplify right side
    1,896.60x = 4,544,090.24
  5. Step 5: Solve for x
    x = 4,544,090.24/1,896.60
  6. Step 6: Final answer
    x = 2,395.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.