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Finding the Fourth Proportional to 1,831.96, 2,748.54 and 599.41

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Solution

The fourth proportional to 1,831.96, 2,748.54 and 599.41 is: 899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.96 : 2,748.54 = 599.41 : x
  2. Step 2: Convert to fraction form
    1,831.96/2,748.54 = 599.41/x
  3. Step 3: Cross multiply
    1,831.96x = 2,748.54 × 599.41
  4. Step 4: Simplify right side
    1,831.96x = 1,647,502.36
  5. Step 5: Solve for x
    x = 1,647,502.36/1,831.96
  6. Step 6: Final answer
    x = 899.31

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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.