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Finding the Fourth Proportional to 2,858.40, 4,283.20 and 1,930.32

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Solution

The fourth proportional to 2,858.40, 4,283.20 and 1,930.32 is: 2,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.40 : 4,283.20 = 1,930.32 : x
  2. Step 2: Convert to fraction form
    2,858.40/4,283.20 = 1,930.32/x
  3. Step 3: Cross multiply
    2,858.40x = 4,283.20 × 1,930.32
  4. Step 4: Simplify right side
    2,858.40x = 8,267,946.62
  5. Step 5: Solve for x
    x = 8,267,946.62/2,858.40
  6. Step 6: Final answer
    x = 2,892.51

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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.