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Finding the Fourth Proportional to 2,929.70, 4,042.90 and 1,603.38

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Solution

The fourth proportional to 2,929.70, 4,042.90 and 1,603.38 is: 2,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.70 : 4,042.90 = 1,603.38 : x
  2. Step 2: Convert to fraction form
    2,929.70/4,042.90 = 1,603.38/x
  3. Step 3: Cross multiply
    2,929.70x = 4,042.90 × 1,603.38
  4. Step 4: Simplify right side
    2,929.70x = 6,482,305.00
  5. Step 5: Solve for x
    x = 6,482,305.00/2,929.70
  6. Step 6: Final answer
    x = 2,212.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.