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Finding the Fourth Proportional to 1,808.45, 2,495.65 and 1,022.49

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Solution

The fourth proportional to 1,808.45, 2,495.65 and 1,022.49 is: 1,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.45 : 2,495.65 = 1,022.49 : x
  2. Step 2: Convert to fraction form
    1,808.45/2,495.65 = 1,022.49/x
  3. Step 3: Cross multiply
    1,808.45x = 2,495.65 × 1,022.49
  4. Step 4: Simplify right side
    1,808.45x = 2,551,777.17
  5. Step 5: Solve for x
    x = 2,551,777.17/1,808.45
  6. Step 6: Final answer
    x = 1,411.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.