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Finding the Fourth Proportional to 1,973.82, 2,724.66 and 1,310.46

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Solution

The fourth proportional to 1,973.82, 2,724.66 and 1,310.46 is: 1,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.82 : 2,724.66 = 1,310.46 : x
  2. Step 2: Convert to fraction form
    1,973.82/2,724.66 = 1,310.46/x
  3. Step 3: Cross multiply
    1,973.82x = 2,724.66 × 1,310.46
  4. Step 4: Simplify right side
    1,973.82x = 3,570,557.94
  5. Step 5: Solve for x
    x = 3,570,557.94/1,973.82
  6. Step 6: Final answer
    x = 1,808.96

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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.