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Finding the Fourth Proportional to 2,858.46, 4,284.80 and 1,375.50

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Solution

The fourth proportional to 2,858.46, 4,284.80 and 1,375.50 is: 2,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.46 : 4,284.80 = 1,375.50 : x
  2. Step 2: Convert to fraction form
    2,858.46/4,284.80 = 1,375.50/x
  3. Step 3: Cross multiply
    2,858.46x = 4,284.80 × 1,375.50
  4. Step 4: Simplify right side
    2,858.46x = 5,893,761.91
  5. Step 5: Solve for x
    x = 5,893,761.91/2,858.46
  6. Step 6: Final answer
    x = 2,061.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.