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Finding the Fourth Proportional to 2,296.53, 3,168.08 and 1,499.48

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Solution

The fourth proportional to 2,296.53, 3,168.08 and 1,499.48 is: 2,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.53 : 3,168.08 = 1,499.48 : x
  2. Step 2: Convert to fraction form
    2,296.53/3,168.08 = 1,499.48/x
  3. Step 3: Cross multiply
    2,296.53x = 3,168.08 × 1,499.48
  4. Step 4: Simplify right side
    2,296.53x = 4,750,454.88
  5. Step 5: Solve for x
    x = 4,750,454.88/2,296.53
  6. Step 6: Final answer
    x = 2,068.54

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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.