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Finding the Fourth Proportional to 2,815.70, 3,885.78 and 1,869.86

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Solution

The fourth proportional to 2,815.70, 3,885.78 and 1,869.86 is: 2,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.70 : 3,885.78 = 1,869.86 : x
  2. Step 2: Convert to fraction form
    2,815.70/3,885.78 = 1,869.86/x
  3. Step 3: Cross multiply
    2,815.70x = 3,885.78 × 1,869.86
  4. Step 4: Simplify right side
    2,815.70x = 7,265,859.92
  5. Step 5: Solve for x
    x = 7,265,859.92/2,815.70
  6. Step 6: Final answer
    x = 2,580.48

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