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Finding the Fourth Proportional to 2,359.83, 3,539.57 and 716.39

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Solution

The fourth proportional to 2,359.83, 3,539.57 and 716.39 is: 1,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.83 : 3,539.57 = 716.39 : x
  2. Step 2: Convert to fraction form
    2,359.83/3,539.57 = 716.39/x
  3. Step 3: Cross multiply
    2,359.83x = 3,539.57 × 716.39
  4. Step 4: Simplify right side
    2,359.83x = 2,535,708.58
  5. Step 5: Solve for x
    x = 2,535,708.58/2,359.83
  6. Step 6: Final answer
    x = 1,074.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.