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Finding the Fourth Proportional to 2,287.17, 3,425.93 and 1,188.20

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Solution

The fourth proportional to 2,287.17, 3,425.93 and 1,188.20 is: 1,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.17 : 3,425.93 = 1,188.20 : x
  2. Step 2: Convert to fraction form
    2,287.17/3,425.93 = 1,188.20/x
  3. Step 3: Cross multiply
    2,287.17x = 3,425.93 × 1,188.20
  4. Step 4: Simplify right side
    2,287.17x = 4,070,697.11
  5. Step 5: Solve for x
    x = 4,070,697.11/2,287.17
  6. Step 6: Final answer
    x = 1,779.80

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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.