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Finding the Fourth Proportional to 3,022.04, 4,170.90 and 1,780.04

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Solution

The fourth proportional to 3,022.04, 4,170.90 and 1,780.04 is: 2,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.04 : 4,170.90 = 1,780.04 : x
  2. Step 2: Convert to fraction form
    3,022.04/4,170.90 = 1,780.04/x
  3. Step 3: Cross multiply
    3,022.04x = 4,170.90 × 1,780.04
  4. Step 4: Simplify right side
    3,022.04x = 7,424,368.84
  5. Step 5: Solve for x
    x = 7,424,368.84/3,022.04
  6. Step 6: Final answer
    x = 2,456.74

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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.