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Finding the Fourth Proportional to 2,009.43, 3,012.32 and 1,488.80

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Solution

The fourth proportional to 2,009.43, 3,012.32 and 1,488.80 is: 2,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.43 : 3,012.32 = 1,488.80 : x
  2. Step 2: Convert to fraction form
    2,009.43/3,012.32 = 1,488.80/x
  3. Step 3: Cross multiply
    2,009.43x = 3,012.32 × 1,488.80
  4. Step 4: Simplify right side
    2,009.43x = 4,484,719.51
  5. Step 5: Solve for x
    x = 4,484,719.51/2,009.43
  6. Step 6: Final answer
    x = 2,231.84

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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.