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Finding the Fourth Proportional to 2,539.99, 3,507.67 and 1,656.28

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Solution

The fourth proportional to 2,539.99, 3,507.67 and 1,656.28 is: 2,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.99 : 3,507.67 = 1,656.28 : x
  2. Step 2: Convert to fraction form
    2,539.99/3,507.67 = 1,656.28/x
  3. Step 3: Cross multiply
    2,539.99x = 3,507.67 × 1,656.28
  4. Step 4: Simplify right side
    2,539.99x = 5,809,690.12
  5. Step 5: Solve for x
    x = 5,809,690.12/2,539.99
  6. Step 6: Final answer
    x = 2,287.29

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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.