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Finding the Fourth Proportional to 2,038.72, 3,057 and 1,878.88

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Solution

The fourth proportional to 2,038.72, 3,057 and 1,878.88 is: 2,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.72 : 3,057 = 1,878.88 : x
  2. Step 2: Convert to fraction form
    2,038.72/3,057 = 1,878.88/x
  3. Step 3: Cross multiply
    2,038.72x = 3,057 × 1,878.88
  4. Step 4: Simplify right side
    2,038.72x = 5,743,736.16
  5. Step 5: Solve for x
    x = 5,743,736.16/2,038.72
  6. Step 6: Final answer
    x = 2,817.32

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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.