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Finding the Fourth Proportional to 1,651.80, 2,479.32 and 612.84

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Solution

The fourth proportional to 1,651.80, 2,479.32 and 612.84 is: 919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.80 : 2,479.32 = 612.84 : x
  2. Step 2: Convert to fraction form
    1,651.80/2,479.32 = 612.84/x
  3. Step 3: Cross multiply
    1,651.80x = 2,479.32 × 612.84
  4. Step 4: Simplify right side
    1,651.80x = 1,519,426.47
  5. Step 5: Solve for x
    x = 1,519,426.47/1,651.80
  6. Step 6: Final answer
    x = 919.86

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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.