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Finding the Fourth Proportional to 2,924.51, 4,387.44 and 2,000.50

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Solution

The fourth proportional to 2,924.51, 4,387.44 and 2,000.50 is: 3,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.51 : 4,387.44 = 2,000.50 : x
  2. Step 2: Convert to fraction form
    2,924.51/4,387.44 = 2,000.50/x
  3. Step 3: Cross multiply
    2,924.51x = 4,387.44 × 2,000.50
  4. Step 4: Simplify right side
    2,924.51x = 8,777,070.25
  5. Step 5: Solve for x
    x = 8,777,070.25/2,924.51
  6. Step 6: Final answer
    x = 3,001.22

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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.