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Finding the Fourth Proportional to 2,967.93, 4,454.61 and 1,582.44

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Solution

The fourth proportional to 2,967.93, 4,454.61 and 1,582.44 is: 2,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.93 : 4,454.61 = 1,582.44 : x
  2. Step 2: Convert to fraction form
    2,967.93/4,454.61 = 1,582.44/x
  3. Step 3: Cross multiply
    2,967.93x = 4,454.61 × 1,582.44
  4. Step 4: Simplify right side
    2,967.93x = 7,049,153.05
  5. Step 5: Solve for x
    x = 7,049,153.05/2,967.93
  6. Step 6: Final answer
    x = 2,375.11

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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.