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Finding the Fourth Proportional to 2,539.42, 3,504.41 and 1,420.40

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Solution

The fourth proportional to 2,539.42, 3,504.41 and 1,420.40 is: 1,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.42 : 3,504.41 = 1,420.40 : x
  2. Step 2: Convert to fraction form
    2,539.42/3,504.41 = 1,420.40/x
  3. Step 3: Cross multiply
    2,539.42x = 3,504.41 × 1,420.40
  4. Step 4: Simplify right side
    2,539.42x = 4,977,665.62
  5. Step 5: Solve for x
    x = 4,977,665.62/2,539.42
  6. Step 6: Final answer
    x = 1,960.16

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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.