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Finding the Fourth Proportional to 1,446.95, 2,010.65 and 1,431.90

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Solution

The fourth proportional to 1,446.95, 2,010.65 and 1,431.90 is: 1,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.95 : 2,010.65 = 1,431.90 : x
  2. Step 2: Convert to fraction form
    1,446.95/2,010.65 = 1,431.90/x
  3. Step 3: Cross multiply
    1,446.95x = 2,010.65 × 1,431.90
  4. Step 4: Simplify right side
    1,446.95x = 2,879,042.58
  5. Step 5: Solve for x
    x = 2,879,042.58/1,446.95
  6. Step 6: Final answer
    x = 1,989.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.