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Finding the Fourth Proportional to 2,543.99, 3,820.99 and 2,434.64

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Solution

The fourth proportional to 2,543.99, 3,820.99 and 2,434.64 is: 3,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.99 : 3,820.99 = 2,434.64 : x
  2. Step 2: Convert to fraction form
    2,543.99/3,820.99 = 2,434.64/x
  3. Step 3: Cross multiply
    2,543.99x = 3,820.99 × 2,434.64
  4. Step 4: Simplify right side
    2,543.99x = 9,302,714.47
  5. Step 5: Solve for x
    x = 9,302,714.47/2,543.99
  6. Step 6: Final answer
    x = 3,656.75

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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.