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Finding the Fourth Proportional to 2,868.58, 4,302.87 and 2,354.50

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Solution

The fourth proportional to 2,868.58, 4,302.87 and 2,354.50 is: 3,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.58 : 4,302.87 = 2,354.50 : x
  2. Step 2: Convert to fraction form
    2,868.58/4,302.87 = 2,354.50/x
  3. Step 3: Cross multiply
    2,868.58x = 4,302.87 × 2,354.50
  4. Step 4: Simplify right side
    2,868.58x = 10,131,107.42
  5. Step 5: Solve for x
    x = 10,131,107.42/2,868.58
  6. Step 6: Final answer
    x = 3,531.75

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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.