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Finding the Fourth Proportional to 2,543.64, 3,817.62 and 1,005.72

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Solution

The fourth proportional to 2,543.64, 3,817.62 and 1,005.72 is: 1,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.64 : 3,817.62 = 1,005.72 : x
  2. Step 2: Convert to fraction form
    2,543.64/3,817.62 = 1,005.72/x
  3. Step 3: Cross multiply
    2,543.64x = 3,817.62 × 1,005.72
  4. Step 4: Simplify right side
    2,543.64x = 3,839,456.79
  5. Step 5: Solve for x
    x = 3,839,456.79/2,543.64
  6. Step 6: Final answer
    x = 1,509.43

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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.