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Finding the Fourth Proportional to 2,817.84, 4,214.88 and 2,424.72

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Solution

The fourth proportional to 2,817.84, 4,214.88 and 2,424.72 is: 3,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.84 : 4,214.88 = 2,424.72 : x
  2. Step 2: Convert to fraction form
    2,817.84/4,214.88 = 2,424.72/x
  3. Step 3: Cross multiply
    2,817.84x = 4,214.88 × 2,424.72
  4. Step 4: Simplify right side
    2,817.84x = 10,219,903.83
  5. Step 5: Solve for x
    x = 10,219,903.83/2,817.84
  6. Step 6: Final answer
    x = 3,626.86

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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.