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Finding the Fourth Proportional to 2,877.50, 3,971.43 and 1,698.86

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Solution

The fourth proportional to 2,877.50, 3,971.43 and 1,698.86 is: 2,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.50 : 3,971.43 = 1,698.86 : x
  2. Step 2: Convert to fraction form
    2,877.50/3,971.43 = 1,698.86/x
  3. Step 3: Cross multiply
    2,877.50x = 3,971.43 × 1,698.86
  4. Step 4: Simplify right side
    2,877.50x = 6,746,903.57
  5. Step 5: Solve for x
    x = 6,746,903.57/2,877.50
  6. Step 6: Final answer
    x = 2,344.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.