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Finding the Fourth Proportional to 2,359.60, 3,539.74 and 799.74

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Solution

The fourth proportional to 2,359.60, 3,539.74 and 799.74 is: 1,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.60 : 3,539.74 = 799.74 : x
  2. Step 2: Convert to fraction form
    2,359.60/3,539.74 = 799.74/x
  3. Step 3: Cross multiply
    2,359.60x = 3,539.74 × 799.74
  4. Step 4: Simplify right side
    2,359.60x = 2,830,871.67
  5. Step 5: Solve for x
    x = 2,830,871.67/2,359.60
  6. Step 6: Final answer
    x = 1,199.73

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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.