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Finding the Fourth Proportional to 2,983, 4,475.58 and 2,743.24

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Solution

The fourth proportional to 2,983, 4,475.58 and 2,743.24 is: 4,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983 : 4,475.58 = 2,743.24 : x
  2. Step 2: Convert to fraction form
    2,983/4,475.58 = 2,743.24/x
  3. Step 3: Cross multiply
    2,983x = 4,475.58 × 2,743.24
  4. Step 4: Simplify right side
    2,983x = 12,277,590.08
  5. Step 5: Solve for x
    x = 12,277,590.08/2,983
  6. Step 6: Final answer
    x = 4,115.85

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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.