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Finding the Fourth Proportional to 2,905.35, 4,357.57 and 2,414.91

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Solution

The fourth proportional to 2,905.35, 4,357.57 and 2,414.91 is: 3,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.35 : 4,357.57 = 2,414.91 : x
  2. Step 2: Convert to fraction form
    2,905.35/4,357.57 = 2,414.91/x
  3. Step 3: Cross multiply
    2,905.35x = 4,357.57 × 2,414.91
  4. Step 4: Simplify right side
    2,905.35x = 10,523,139.37
  5. Step 5: Solve for x
    x = 10,523,139.37/2,905.35
  6. Step 6: Final answer
    x = 3,621.99

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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.