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Finding the Fourth Proportional to 3,009.40, 4,153.74 and 1,831.46

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Solution

The fourth proportional to 3,009.40, 4,153.74 and 1,831.46 is: 2,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.40 : 4,153.74 = 1,831.46 : x
  2. Step 2: Convert to fraction form
    3,009.40/4,153.74 = 1,831.46/x
  3. Step 3: Cross multiply
    3,009.40x = 4,153.74 × 1,831.46
  4. Step 4: Simplify right side
    3,009.40x = 7,607,408.66
  5. Step 5: Solve for x
    x = 7,607,408.66/3,009.40
  6. Step 6: Final answer
    x = 2,527.88

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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.