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Finding the Fourth Proportional to 1,447.98, 2,166.98 and 985.20

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Solution

The fourth proportional to 1,447.98, 2,166.98 and 985.20 is: 1,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.98 : 2,166.98 = 985.20 : x
  2. Step 2: Convert to fraction form
    1,447.98/2,166.98 = 985.20/x
  3. Step 3: Cross multiply
    1,447.98x = 2,166.98 × 985.20
  4. Step 4: Simplify right side
    1,447.98x = 2,134,903.77
  5. Step 5: Solve for x
    x = 2,134,903.77/1,447.98
  6. Step 6: Final answer
    x = 1,474.40

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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.