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Finding the Fourth Proportional to 1,622.86, 2,433.81 and 929.41

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Solution

The fourth proportional to 1,622.86, 2,433.81 and 929.41 is: 1,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.86 : 2,433.81 = 929.41 : x
  2. Step 2: Convert to fraction form
    1,622.86/2,433.81 = 929.41/x
  3. Step 3: Cross multiply
    1,622.86x = 2,433.81 × 929.41
  4. Step 4: Simplify right side
    1,622.86x = 2,262,007.35
  5. Step 5: Solve for x
    x = 2,262,007.35/1,622.86
  6. Step 6: Final answer
    x = 1,393.84

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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.