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Finding the Fourth Proportional to 2,874.69, 4,312.64 and 1,025.97

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Solution

The fourth proportional to 2,874.69, 4,312.64 and 1,025.97 is: 1,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.69 : 4,312.64 = 1,025.97 : x
  2. Step 2: Convert to fraction form
    2,874.69/4,312.64 = 1,025.97/x
  3. Step 3: Cross multiply
    2,874.69x = 4,312.64 × 1,025.97
  4. Step 4: Simplify right side
    2,874.69x = 4,424,625.65
  5. Step 5: Solve for x
    x = 4,424,625.65/2,874.69
  6. Step 6: Final answer
    x = 1,539.17

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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.