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Finding the Fourth Proportional to 2,539.72, 3,504.90 and 1,420.66

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Solution

The fourth proportional to 2,539.72, 3,504.90 and 1,420.66 is: 1,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.72 : 3,504.90 = 1,420.66 : x
  2. Step 2: Convert to fraction form
    2,539.72/3,504.90 = 1,420.66/x
  3. Step 3: Cross multiply
    2,539.72x = 3,504.90 × 1,420.66
  4. Step 4: Simplify right side
    2,539.72x = 4,979,271.23
  5. Step 5: Solve for x
    x = 4,979,271.23/2,539.72
  6. Step 6: Final answer
    x = 1,960.56

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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.