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Finding the Fourth Proportional to 2,360.46, 3,539.66 and 1,189.72

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Solution

The fourth proportional to 2,360.46, 3,539.66 and 1,189.72 is: 1,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.46 : 3,539.66 = 1,189.72 : x
  2. Step 2: Convert to fraction form
    2,360.46/3,539.66 = 1,189.72/x
  3. Step 3: Cross multiply
    2,360.46x = 3,539.66 × 1,189.72
  4. Step 4: Simplify right side
    2,360.46x = 4,211,204.30
  5. Step 5: Solve for x
    x = 4,211,204.30/2,360.46
  6. Step 6: Final answer
    x = 1,784.06

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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.