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Finding the Fourth Proportional to 2,416.41, 3,333.24 and 1,420.92

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Solution

The fourth proportional to 2,416.41, 3,333.24 and 1,420.92 is: 1,960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.41 : 3,333.24 = 1,420.92 : x
  2. Step 2: Convert to fraction form
    2,416.41/3,333.24 = 1,420.92/x
  3. Step 3: Cross multiply
    2,416.41x = 3,333.24 × 1,420.92
  4. Step 4: Simplify right side
    2,416.41x = 4,736,267.38
  5. Step 5: Solve for x
    x = 4,736,267.38/2,416.41
  6. Step 6: Final answer
    x = 1,960.04

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Why These Related Problems?

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