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Finding the Fourth Proportional to 2,543.91, 3,815.47 and 984.64

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Solution

The fourth proportional to 2,543.91, 3,815.47 and 984.64 is: 1,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.91 : 3,815.47 = 984.64 : x
  2. Step 2: Convert to fraction form
    2,543.91/3,815.47 = 984.64/x
  3. Step 3: Cross multiply
    2,543.91x = 3,815.47 × 984.64
  4. Step 4: Simplify right side
    2,543.91x = 3,756,856.07
  5. Step 5: Solve for x
    x = 3,756,856.07/2,543.91
  6. Step 6: Final answer
    x = 1,476.80

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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.