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Finding the Fourth Proportional to 1,831.79, 2,515.67 and 1,536.54

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Solution

The fourth proportional to 1,831.79, 2,515.67 and 1,536.54 is: 2,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.79 : 2,515.67 = 1,536.54 : x
  2. Step 2: Convert to fraction form
    1,831.79/2,515.67 = 1,536.54/x
  3. Step 3: Cross multiply
    1,831.79x = 2,515.67 × 1,536.54
  4. Step 4: Simplify right side
    1,831.79x = 3,865,419.90
  5. Step 5: Solve for x
    x = 3,865,419.90/1,831.79
  6. Step 6: Final answer
    x = 2,110.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.