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Finding the Fourth Proportional to 2,876.94, 4,312.44 and 1,575.66

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Solution

The fourth proportional to 2,876.94, 4,312.44 and 1,575.66 is: 2,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.94 : 4,312.44 = 1,575.66 : x
  2. Step 2: Convert to fraction form
    2,876.94/4,312.44 = 1,575.66/x
  3. Step 3: Cross multiply
    2,876.94x = 4,312.44 × 1,575.66
  4. Step 4: Simplify right side
    2,876.94x = 6,794,939.21
  5. Step 5: Solve for x
    x = 6,794,939.21/2,876.94
  6. Step 6: Final answer
    x = 2,361.86

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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.