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Finding the Fourth Proportional to 1,831.96, 2,527.48 and 1,035.19

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Solution

The fourth proportional to 1,831.96, 2,527.48 and 1,035.19 is: 1,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.96 : 2,527.48 = 1,035.19 : x
  2. Step 2: Convert to fraction form
    1,831.96/2,527.48 = 1,035.19/x
  3. Step 3: Cross multiply
    1,831.96x = 2,527.48 × 1,035.19
  4. Step 4: Simplify right side
    1,831.96x = 2,616,416.85
  5. Step 5: Solve for x
    x = 2,616,416.85/1,831.96
  6. Step 6: Final answer
    x = 1,428.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.