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Finding the Fourth Proportional to 1,831.37, 2,744.49 and 1,010.03

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Solution

The fourth proportional to 1,831.37, 2,744.49 and 1,010.03 is: 1,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.37 : 2,744.49 = 1,010.03 : x
  2. Step 2: Convert to fraction form
    1,831.37/2,744.49 = 1,010.03/x
  3. Step 3: Cross multiply
    1,831.37x = 2,744.49 × 1,010.03
  4. Step 4: Simplify right side
    1,831.37x = 2,772,017.23
  5. Step 5: Solve for x
    x = 2,772,017.23/1,831.37
  6. Step 6: Final answer
    x = 1,513.63

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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.