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Finding the Fourth Proportional to 1,808.82, 2,493.45 and 1,415.16

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Solution

The fourth proportional to 1,808.82, 2,493.45 and 1,415.16 is: 1,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.82 : 2,493.45 = 1,415.16 : x
  2. Step 2: Convert to fraction form
    1,808.82/2,493.45 = 1,415.16/x
  3. Step 3: Cross multiply
    1,808.82x = 2,493.45 × 1,415.16
  4. Step 4: Simplify right side
    1,808.82x = 3,528,630.70
  5. Step 5: Solve for x
    x = 3,528,630.70/1,808.82
  6. Step 6: Final answer
    x = 1,950.79

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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.