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Finding the Fourth Proportional to 2,930, 4,043.24 and 1,603.74

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Solution

The fourth proportional to 2,930, 4,043.24 and 1,603.74 is: 2,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930 : 4,043.24 = 1,603.74 : x
  2. Step 2: Convert to fraction form
    2,930/4,043.24 = 1,603.74/x
  3. Step 3: Cross multiply
    2,930x = 4,043.24 × 1,603.74
  4. Step 4: Simplify right side
    2,930x = 6,484,305.72
  5. Step 5: Solve for x
    x = 6,484,305.72/2,930
  6. Step 6: Final answer
    x = 2,213.07

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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.