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Finding the Fourth Proportional to 2,539.96, 3,505.64 and 1,420.83

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Solution

The fourth proportional to 2,539.96, 3,505.64 and 1,420.83 is: 1,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.96 : 3,505.64 = 1,420.83 : x
  2. Step 2: Convert to fraction form
    2,539.96/3,505.64 = 1,420.83/x
  3. Step 3: Cross multiply
    2,539.96x = 3,505.64 × 1,420.83
  4. Step 4: Simplify right side
    2,539.96x = 4,980,911.38
  5. Step 5: Solve for x
    x = 4,980,911.38/2,539.96
  6. Step 6: Final answer
    x = 1,961.02

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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.