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Finding the Fourth Proportional to 2,970.75, 4,454.49 and 2,034.78

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Solution

The fourth proportional to 2,970.75, 4,454.49 and 2,034.78 is: 3,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.75 : 4,454.49 = 2,034.78 : x
  2. Step 2: Convert to fraction form
    2,970.75/4,454.49 = 2,034.78/x
  3. Step 3: Cross multiply
    2,970.75x = 4,454.49 × 2,034.78
  4. Step 4: Simplify right side
    2,970.75x = 9,063,884.89
  5. Step 5: Solve for x
    x = 9,063,884.89/2,970.75
  6. Step 6: Final answer
    x = 3,051.04

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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.