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Finding the Fourth Proportional to 2,803.60, 4,194.60 and 1,831.60

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Solution

The fourth proportional to 2,803.60, 4,194.60 and 1,831.60 is: 2,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.60 : 4,194.60 = 1,831.60 : x
  2. Step 2: Convert to fraction form
    2,803.60/4,194.60 = 1,831.60/x
  3. Step 3: Cross multiply
    2,803.60x = 4,194.60 × 1,831.60
  4. Step 4: Simplify right side
    2,803.60x = 7,682,829.36
  5. Step 5: Solve for x
    x = 7,682,829.36/2,803.60
  6. Step 6: Final answer
    x = 2,740.34

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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.