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Finding the Fourth Proportional to 2,020.75, 2,785.75 and 1,432.63

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Solution

The fourth proportional to 2,020.75, 2,785.75 and 1,432.63 is: 1,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.75 : 2,785.75 = 1,432.63 : x
  2. Step 2: Convert to fraction form
    2,020.75/2,785.75 = 1,432.63/x
  3. Step 3: Cross multiply
    2,020.75x = 2,785.75 × 1,432.63
  4. Step 4: Simplify right side
    2,020.75x = 3,990,949.02
  5. Step 5: Solve for x
    x = 3,990,949.02/2,020.75
  6. Step 6: Final answer
    x = 1,974.98

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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.