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Finding the Fourth Proportional to 1,831.46, 2,747.39 and 532.93

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Solution

The fourth proportional to 1,831.46, 2,747.39 and 532.93 is: 799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.46 : 2,747.39 = 532.93 : x
  2. Step 2: Convert to fraction form
    1,831.46/2,747.39 = 532.93/x
  3. Step 3: Cross multiply
    1,831.46x = 2,747.39 × 532.93
  4. Step 4: Simplify right side
    1,831.46x = 1,464,167.32
  5. Step 5: Solve for x
    x = 1,464,167.32/1,831.46
  6. Step 6: Final answer
    x = 799.45

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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.