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Finding the Fourth Proportional to 1,831.84, 2,748.16 and 533.41

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Solution

The fourth proportional to 1,831.84, 2,748.16 and 533.41 is: 800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.84 : 2,748.16 = 533.41 : x
  2. Step 2: Convert to fraction form
    1,831.84/2,748.16 = 533.41/x
  3. Step 3: Cross multiply
    1,831.84x = 2,748.16 × 533.41
  4. Step 4: Simplify right side
    1,831.84x = 1,465,896.03
  5. Step 5: Solve for x
    x = 1,465,896.03/1,831.84
  6. Step 6: Final answer
    x = 800.23

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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.