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Finding the Fourth Proportional to 1,809.40, 2,487.29 and 1,631.20

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Solution

The fourth proportional to 1,809.40, 2,487.29 and 1,631.20 is: 2,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.40 : 2,487.29 = 1,631.20 : x
  2. Step 2: Convert to fraction form
    1,809.40/2,487.29 = 1,631.20/x
  3. Step 3: Cross multiply
    1,809.40x = 2,487.29 × 1,631.20
  4. Step 4: Simplify right side
    1,809.40x = 4,057,267.45
  5. Step 5: Solve for x
    x = 4,057,267.45/1,809.40
  6. Step 6: Final answer
    x = 2,242.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.