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Finding the Fourth Proportional to 1,808.42, 2,712.63 and 985.56

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Solution

The fourth proportional to 1,808.42, 2,712.63 and 985.56 is: 1,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.42 : 2,712.63 = 985.56 : x
  2. Step 2: Convert to fraction form
    1,808.42/2,712.63 = 985.56/x
  3. Step 3: Cross multiply
    1,808.42x = 2,712.63 × 985.56
  4. Step 4: Simplify right side
    1,808.42x = 2,673,459.62
  5. Step 5: Solve for x
    x = 2,673,459.62/1,808.42
  6. Step 6: Final answer
    x = 1,478.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.