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Finding the Fourth Proportional to 1,437.73, 1,984.89 and 966.46

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Solution

The fourth proportional to 1,437.73, 1,984.89 and 966.46 is: 1,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.73 : 1,984.89 = 966.46 : x
  2. Step 2: Convert to fraction form
    1,437.73/1,984.89 = 966.46/x
  3. Step 3: Cross multiply
    1,437.73x = 1,984.89 × 966.46
  4. Step 4: Simplify right side
    1,437.73x = 1,918,316.79
  5. Step 5: Solve for x
    x = 1,918,316.79/1,437.73
  6. Step 6: Final answer
    x = 1,334.27

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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.