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Finding the Fourth Proportional to 2,539.80, 3,505.08 and 1,420.87

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Solution

The fourth proportional to 2,539.80, 3,505.08 and 1,420.87 is: 1,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.80 : 3,505.08 = 1,420.87 : x
  2. Step 2: Convert to fraction form
    2,539.80/3,505.08 = 1,420.87/x
  3. Step 3: Cross multiply
    2,539.80x = 3,505.08 × 1,420.87
  4. Step 4: Simplify right side
    2,539.80x = 4,980,263.02
  5. Step 5: Solve for x
    x = 4,980,263.02/2,539.80
  6. Step 6: Final answer
    x = 1,960.89

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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.