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Finding the Fourth Proportional to 2,930.38, 4,397.02 and 1,370.50

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Solution

The fourth proportional to 2,930.38, 4,397.02 and 1,370.50 is: 2,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.38 : 4,397.02 = 1,370.50 : x
  2. Step 2: Convert to fraction form
    2,930.38/4,397.02 = 1,370.50/x
  3. Step 3: Cross multiply
    2,930.38x = 4,397.02 × 1,370.50
  4. Step 4: Simplify right side
    2,930.38x = 6,026,115.91
  5. Step 5: Solve for x
    x = 6,026,115.91/2,930.38
  6. Step 6: Final answer
    x = 2,056.43

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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.