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Finding the Fourth Proportional to 1,350.68, 2,026.62 and 831.47

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Solution

The fourth proportional to 1,350.68, 2,026.62 and 831.47 is: 1,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.68 : 2,026.62 = 831.47 : x
  2. Step 2: Convert to fraction form
    1,350.68/2,026.62 = 831.47/x
  3. Step 3: Cross multiply
    1,350.68x = 2,026.62 × 831.47
  4. Step 4: Simplify right side
    1,350.68x = 1,685,063.60
  5. Step 5: Solve for x
    x = 1,685,063.60/1,350.68
  6. Step 6: Final answer
    x = 1,247.57

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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.