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Finding the Fourth Proportional to 2,414.99, 3,332.70 and 1,420.31

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Solution

The fourth proportional to 2,414.99, 3,332.70 and 1,420.31 is: 1,960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.99 : 3,332.70 = 1,420.31 : x
  2. Step 2: Convert to fraction form
    2,414.99/3,332.70 = 1,420.31/x
  3. Step 3: Cross multiply
    2,414.99x = 3,332.70 × 1,420.31
  4. Step 4: Simplify right side
    2,414.99x = 4,733,467.14
  5. Step 5: Solve for x
    x = 4,733,467.14/2,414.99
  6. Step 6: Final answer
    x = 1,960.04

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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.