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Finding the Fourth Proportional to 1,394.06, 2,088.80 and 982.47

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Solution

The fourth proportional to 1,394.06, 2,088.80 and 982.47 is: 1,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.06 : 2,088.80 = 982.47 : x
  2. Step 2: Convert to fraction form
    1,394.06/2,088.80 = 982.47/x
  3. Step 3: Cross multiply
    1,394.06x = 2,088.80 × 982.47
  4. Step 4: Simplify right side
    1,394.06x = 2,052,178.42
  5. Step 5: Solve for x
    x = 2,052,178.42/1,394.06
  6. Step 6: Final answer
    x = 1,472.09

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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.