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Finding the Fourth Proportional to 2,826.84, 4,237.56 and 1,853.76

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Solution

The fourth proportional to 2,826.84, 4,237.56 and 1,853.76 is: 2,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.84 : 4,237.56 = 1,853.76 : x
  2. Step 2: Convert to fraction form
    2,826.84/4,237.56 = 1,853.76/x
  3. Step 3: Cross multiply
    2,826.84x = 4,237.56 × 1,853.76
  4. Step 4: Simplify right side
    2,826.84x = 7,855,419.23
  5. Step 5: Solve for x
    x = 7,855,419.23/2,826.84
  6. Step 6: Final answer
    x = 2,778.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.